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232133402000 = 2453176827453
BaseRepresentation
bin1101100000110000111…
…0101001110110010000
3211012011202221122020102
43120030032221312100
512300402122331000
6254350212231532
722525324234523
oct3301416516620
9735152848212
10232133402000
118a4a1287785
1238ba500b5a8
1318b75698706
14b3419ccbba
1560895123d5
hex360c3a9d90

232133402000 has 80 divisors (see below), whose sum is σ = 594316215792. Its totient is φ = 87391385600.

The previous prime is 232133401879. The next prime is 232133402009. The reversal of 232133402000 is 204331232.

It can be written as a sum of positive squares in 8 ways, for example, as 16581197824 + 215552204176 = 128768^2 + 464276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (232133402009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3379727 + ... + 3447726.

Almost surely, 2232133402000 is an apocalyptic number.

232133402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133402000 is an abundant number, since it is smaller than the sum of its proper divisors (362182813792).

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

232133402000 is a wasteful number, since it uses less digits than its factorization.

232133402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827493 (or 6827477 counting only the distinct ones).

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

Adding to 232133402000 its reverse (204331232), we get a palindrome (232337733232).

The spelling of 232133402000 in words is "two hundred thirty-two billion, one hundred thirty-three million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 6827453 13654906 27309812 34137265 54619624 68274530 109239248 116066701 136549060 170686325 232133402 273098120 341372650 464266804 546196240 580333505 682745300 853431625 928533608 1160667010 1365490600 1706863250 1857067216 2321334020 2730981200 2901667525 3413726500 4642668040 5803335050 6827453000 9285336080 11606670100 13654906000 14508337625 23213340200 29016675250 46426680400 58033350500 116066701000 232133402000