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232033100020 = 225292691487201
BaseRepresentation
bin1101100000011001000…
…0000010000011110100
3211011220210012202210021
43120012100002003310
512300200433200040
6254332230334524
722522665544111
oct3300620020364
9734823182707
10232033100020
118a44a6aa387
1238b774ba444
1318b5a97a627
14b33255d908
1560807ed24a
hex36064020f4

232033100020 has 48 divisors (see below), whose sum is σ = 505946120400. Its totient is φ = 89279590400.

The previous prime is 232033100003. The next prime is 232033100021. The reversal of 232033100020 is 20001330232.

It can be written as a sum of positive squares in 8 ways, for example, as 56607829776 + 175425270244 = 237924^2 + 418838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232033099967 and 232033100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232033100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587581 + ... + 899620.

It is an arithmetic number, because the mean of its divisors is an integer number (10540544175).

Almost surely, 2232033100020 is an apocalyptic number.

232033100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232033100020 is an abundant number, since it is smaller than the sum of its proper divisors (273913020380).

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

232033100020 is a wasteful number, since it uses less digits than its factorization.

232033100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487508 (or 1487506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 232033100020 its reverse (20001330232), we get a palindrome (252034430252).

The spelling of 232033100020 in words is "two hundred thirty-two billion, thirty-three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1345 2690 5380 7801 15602 31204 39005 78010 156020 1487201 2974402 5948804 7436005 14872010 29744020 43128829 86257658 172515316 215644145 400057069 431288290 800114138 862576580 1600228276 2000285345 4000570690 8001141380 11601655001 23203310002 46406620004 58008275005 116016550010 232033100020