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231051072 = 2637241599
BaseRepresentation
bin11011100010110…
…00111101000000
3121002202121111010
431301120331000
5433122113242
634532120520
75503621200
oct1561307500
9532677433
10231051072
111094710aa
1265466140
1338b39815
1422986400
151543e89c
hexdc58f40

231051072 has 168 divisors, whose sum is σ = 729691200. Its totient is φ = 64296960.

The previous prime is 231051071. The next prime is 231051133. The reversal of 231051072 is 270150132.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231051071) 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 23 ways as a sum of consecutive naturals, for example, 385429 + ... + 386027.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2231051072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364845600).

231051072 is an abundant number, since it is smaller than the sum of its proper divisors (498640128).

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

231051072 is a wasteful number, since it uses less digits than its factorization.

231051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 231051072 is about 15200.3642061630. The cubic root of 231051072 is about 613.6244595651.

The spelling of 231051072 in words is "two hundred thirty-one million, fifty-one thousand, seventy-two".