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233200132233040 = 245719157139600673
BaseRepresentation
bin110101000001100000100011…
…000010110001011101010000
31010120200201022011200220122001
4311001200203002301131100
5221031222332322424130
62143550354540323344
7100056103446126160
oct6501404302613520
91116621264626561
10233200132233040
1168339691148985
12221a38b8543554
13a0178a7a6819b
144182d3776a5a0
151be610d4516ca
hexd418230b1750

233200132233040 has 160 divisors (see below), whose sum is σ = 656413537201920. Its totient is φ = 75263747899392.

The previous prime is 233200132233037. The next prime is 233200132233043. The reversal of 233200132233040 is 40332231002332.

It is an interprime number because it is at equal distance from previous prime (233200132233037) and next prime (233200132233043).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233200132233043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68129857 + ... + 71470816.

It is an arithmetic number, because the mean of its divisors is an integer number (4102584607512).

Almost surely, 2233200132233040 is an apocalyptic number.

233200132233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233200132233040 is an abundant number, since it is smaller than the sum of its proper divisors (423213404968880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233200132233040 is a wasteful number, since it uses less digits than its factorization.

233200132233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139600869 (or 139600863 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 233200132233040 its reverse (40332231002332), we get a palindrome (273532363235372).

The spelling of 233200132233040 in words is "two hundred thirty-three trillion, two hundred billion, one hundred thirty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 157 190 266 280 304 314 380 532 560 628 665 760 785 1064 1099 1256 1330 1520 1570 2128 2198 2512 2660 2983 3140 4396 5320 5495 5966 6280 8792 10640 10990 11932 12560 14915 17584 20881 21980 23864 29830 41762 43960 47728 59660 83524 87920 104405 119320 167048 208810 238640 334096 417620 835240 1670480 139600673 279201346 558402692 698003365 977204711 1116805384 1396006730 1954409422 2233610768 2652412787 2792013460 3908818844 4886023555 5304825574 5584026920 7817637688 9772047110 10609651148 11168053840 13262063935 15635275376 18566889509 19544094220 21219302296 21917305661 26524127870 37133779018 39088188440 42438604592 43834611322 53048255740 74267558036 78176376880 87669222644 92834447545 106096511480 109586528305 148535116072 153421139627 175338445288 185668895090 212193022960 219173056610 297070232144 306842279254 350676890576 371337790180 416428807559 438346113220 613684558508 742675580360 767105698135 832857615118 876692226440 1227369117016 1485351160720 1534211396270 1665715230236 1753384452880 2082144037795 2454738234032 2915001652913 3068422792540 3331430460472 4164288075590 5830003305826 6136845585080 6662860920944 8328576151180 11660006611652 12273691170160 14575008264565 16657152302360 23320013223304 29150016529130 33314304604720 46640026446608 58300033058260 116600066116520 233200132233040