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2320203320 = 235596171227
BaseRepresentation
bin1000101001001011…
…0111111000111000
312222200212112121022
42022102313320320
514222433001240
61022122002012
7111332255111
oct21222677070
95880775538
102320203320
11a90770106
12549046308
132ac8c9c96
1418020b208
15d8a629b5
hex8a4b7e38

2320203320 has 128 divisors (see below), whose sum is σ = 5496076800. Its totient is φ = 880857600.

The previous prime is 2320203283. The next prime is 2320203323. The reversal of 2320203320 is 233020232.

2320203320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23202033202 = 10766686892278044800, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320203323) 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, 10221047 + ... + 10221273.

It is an arithmetic number, because the mean of its divisors is an integer number (42938100).

Almost surely, 22320203320 is an apocalyptic number.

2320203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748038400).

2320203320 is an abundant number, since it is smaller than the sum of its proper divisors (3175873480).

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

2320203320 is a wasteful number, since it uses less digits than its factorization.

2320203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2320203320 is about 48168.4888697995. The cubic root of 2320203320 is about 1323.8598607923.

Adding to 2320203320 its reverse (233020232), we get a palindrome (2553223552).

The spelling of 2320203320 in words is "two billion, three hundred twenty million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 61 71 118 122 142 227 236 244 284 295 305 355 454 472 488 568 590 610 710 908 1135 1180 1220 1420 1816 2270 2360 2440 2840 3599 4189 4331 4540 7198 8378 8662 9080 13393 13847 14396 16117 16756 17324 17995 20945 21655 26786 27694 28792 32234 33512 34648 35990 41890 43310 53572 55388 64468 66965 69235 71980 80585 83780 86620 107144 110776 128936 133930 138470 143960 161170 167560 173240 255529 267860 276940 322340 511058 535720 553880 644680 816973 950903 983137 1022116 1277645 1633946 1901806 1966274 2044232 2555290 3267892 3803612 3932548 4084865 4754515 4915685 5110580 6535784 7607224 7865096 8169730 9509030 9831370 10221160 16339460 19018060 19662740 32678920 38036120 39325480 58005083 116010166 232020332 290025415 464040664 580050830 1160101660 2320203320