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230131331232 = 2531119243101139
BaseRepresentation
bin1101011001010011100…
…1010111000010100000
3211000000020200220110020
43112110321113002200
512232302110044412
6253415413033440
722424604016515
oct3262471270240
9730006626406
10230131331232
1189664156340
1238726625880
131891697795a
14b1d1b5530c
155ebd89118c
hex3594e570a0

230131331232 has 576 divisors, whose sum is σ = 723915118080. Its totient is φ = 63431424000.

The previous prime is 230131331191. The next prime is 230131331237. The reversal of 230131331232 is 232133131032.

It is a super-2 number, since 2×2301313312322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230131331237) 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 95 ways as a sum of consecutive naturals, for example, 1655621019 + ... + 1655621157.

It is an arithmetic number, because the mean of its divisors is an integer number (1256797080).

Almost surely, 2230131331232 is an apocalyptic number.

230131331232 is a gapful number since it is divisible by the number (22) 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 230131331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361957559040).

230131331232 is an abundant number, since it is smaller than the sum of its proper divisors (493783786848).

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

230131331232 is a wasteful number, since it uses less digits than its factorization.

230131331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230131331232 its reverse (232133131032), we get a palindrome (462264462264).

The spelling of 230131331232 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred thirty-two".