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20133023220 = 22325296835647
BaseRepresentation
bin10010110000000001…
…011000110111110100
31220222002211112210200
4102300001120313310
5312213023220340
613125440320500
71311625605462
oct226001306764
956862745720
1020133023220
1185a1626372
123a9a613130
131b8b1114bb
14d8dc31832
157cc795330
hex4b0058df4

20133023220 has 144 divisors (see below), whose sum is σ = 63279740160. Its totient is φ = 5175168768.

The previous prime is 20133023213. The next prime is 20133023233. The reversal of 20133023220 is 2232033102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20133023193 and 20133023202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3562437 + ... + 3568083.

It is an arithmetic number, because the mean of its divisors is an integer number (439442640).

Almost surely, 220133023220 is an apocalyptic number.

20133023220 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 20133023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31639870080).

20133023220 is an abundant number, since it is smaller than the sum of its proper divisors (43146716940).

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

20133023220 is a wasteful number, since it uses less digits than its factorization.

20133023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20133023220 its reverse (2232033102), we get a palindrome (22365056322).

The spelling of 20133023220 in words is "twenty billion, one hundred thirty-three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 683 870 1044 1305 1366 1740 2049 2610 2732 3415 4098 5220 5647 6147 6830 8196 10245 11294 12294 13660 16941 19807 20490 22588 24588 28235 30735 33882 39614 40980 50823 56470 59421 61470 67764 79228 84705 99035 101646 112940 118842 122940 163763 169410 178263 198070 203292 237684 254115 297105 327526 338820 356526 396140 491289 508230 594210 655052 713052 818815 891315 982578 1016460 1188420 1473867 1637630 1782630 1965156 2456445 2947734 3275260 3565260 3856901 4912890 5895468 7369335 7713802 9825780 11570703 14738670 15427604 19284505 23141406 29477340 34712109 38569010 46282812 57853515 69424218 77138020 111850129 115707030 138848436 173560545 223700258 231414060 335550387 347121090 447400516 559250645 671100774 694242180 1006651161 1118501290 1342201548 1677751935 2013302322 2237002580 3355503870 4026604644 5033255805 6711007740 10066511610 20133023220