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10232240928 = 2537133137783
BaseRepresentation
bin10011000011110001…
…11001101100100000
3222102002202200210020
421201320321230200
5131423423202203
64411200233440
7511364420130
oct114170715440
928362680706
1010232240928
114380919068
121b9690b880
13c70b52740
146d0d38ac0
153ed485153
hex261e39b20

10232240928 has 192 divisors, whose sum is σ = 34125299712. Its totient is φ = 2611491840.

The previous prime is 10232240927. The next prime is 10232240951. The reversal of 10232240928 is 82904223201.

It is not an unprimeable number, because it can be changed into a prime (10232240927) 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, 251925 + ... + 289707.

It is an arithmetic number, because the mean of its divisors is an integer number (177735936).

Almost surely, 210232240928 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 10232240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062649856).

10232240928 is an abundant number, since it is smaller than the sum of its proper divisors (23893058784).

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

10232240928 is a wasteful number, since it uses less digits than its factorization.

10232240928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37847 (or 37839 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 10232240928 in words is "ten billion, two hundred thirty-two million, two hundred forty thousand, nine hundred twenty-eight".