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23215030272 = 214357317
BaseRepresentation
bin10101100111101110…
…010100000000000000
32012220220011201200000
4111213232110000000
5340021021432042
614355334400000
71451201334000
oct254756240000
965826151600
1023215030272
119933308935
1245ba800000
13225c7a9805
1411a32a4000
1590d13774c
hex567b94000

23215030272 has 720 divisors, whose sum is σ = 85875753600. Its totient is φ = 6242697216.

The previous prime is 23215030231. The next prime is 23215030277. The reversal of 23215030272 is 27203051232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215030277) 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 47 ways as a sum of consecutive naturals, for example, 1365590008 + ... + 1365590024.

It is an arithmetic number, because the mean of its divisors is an integer number (119271880).

Almost surely, 223215030272 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 23215030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42937876800).

23215030272 is an abundant number, since it is smaller than the sum of its proper divisors (62660723328).

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

23215030272 is an frugal number, since it uses more digits than its factorization.

23215030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 23215030272 in words is "twenty-three billion, two hundred fifteen million, thirty thousand, two hundred seventy-two".