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232052132000 = 25531319312311
BaseRepresentation
bin1101100000011101100…
…0101000100010100000
3211011222010000200202102
43120013120220202200
512300220321211000
6254334150305532
722523316401663
oct3300730504240
9734863020672
10232052132000
118a45a419397
1238b819582a8
1318b618b2260
14b334cb56da
15608230c3d5
hex36076288a0

232052132000 has 192 divisors, whose sum is σ = 614593744128. Its totient is φ = 85599360000.

The previous prime is 232052131999. The next prime is 232052132003. The reversal of 232052132000 is 231250232.

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 (232052132003) 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, 100410845 + ... + 100413155.

It is an arithmetic number, because the mean of its divisors is an integer number (3201009084).

Almost surely, 2232052132000 is an apocalyptic number.

232052132000 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 232052132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307296872064).

232052132000 is an abundant number, since it is smaller than the sum of its proper divisors (382541612128).

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

232052132000 is a wasteful number, since it uses less digits than its factorization.

232052132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 232052132000 its reverse (231250232), we get a palindrome (232283382232).

The spelling of 232052132000 in words is "two hundred thirty-two billion, fifty-two million, one hundred thirty-two thousand".