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232033102040 = 23537181866183
BaseRepresentation
bin1101100000011001000…
…0000010100011011000
3211011220210012212120002
43120012100002203120
512300200433231130
6254332230352132
722522665553025
oct3300620024330
9734823185502
10232033102040
118a44a700953
1238b774bb648
1318b5a97b51c
14b33256054c
1560807edb45
hex36064028d8

232033102040 has 64 divisors (see below), whose sum is σ = 539147568960. Its totient is φ = 89805749760.

The previous prime is 232033101953. The next prime is 232033102057. The reversal of 232033102040 is 40201330232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 165212 + ... + 700971.

It is an arithmetic number, because the mean of its divisors is an integer number (8424180765).

Almost surely, 2232033102040 is an apocalyptic number.

232033102040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232033102040 is an abundant number, since it is smaller than the sum of its proper divisors (307114466920).

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

232033102040 is a wasteful number, since it uses less digits than its factorization.

232033102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866412 (or 866408 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232033102040 its reverse (40201330232), we get a palindrome (272234432272).

The spelling of 232033102040 in words is "two hundred thirty-two billion, thirty-three million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 181 185 296 362 370 724 740 905 1448 1480 1810 3620 6697 7240 13394 26788 33485 53576 66970 133940 267880 866183 1732366 3464732 4330915 6929464 8661830 17323660 32048771 34647320 64097542 128195084 156779123 160243855 256390168 313558246 320487710 627116492 640975420 783895615 1254232984 1281950840 1567791230 3135582460 5800827551 6271164920 11601655102 23203310204 29004137755 46406620408 58008275510 116016551020 232033102040