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23147490240 = 2632572198997
BaseRepresentation
bin10101100011101100…
…101010101111000000
32012202012002100011100
4111203230222233000
5334401224141430
614344523014400
71446421264200
oct254354525700
965665070140
1023147490240
1198a9178026
1245a006a400
13224b7bc8b4
141198322400
15907245960
hex563b2abc0

23147490240 has 1008 divisors, whose sum is σ = 99602848800. Its totient is φ = 4904976384.

The previous prime is 23147490229. The next prime is 23147490307. The reversal of 23147490240 is 4209474132.

23147490240 is a `hidden beast` number, since 2 + 3 + 147 + 490 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23147490195 and 23147490204.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 238633872 + ... + 238633968.

It is an arithmetic number, because the mean of its divisors is an integer number (98812350).

Almost surely, 223147490240 is an apocalyptic number.

23147490240 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 23147490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801424400).

23147490240 is an abundant number, since it is smaller than the sum of its proper divisors (76455358560).

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

23147490240 is a wasteful number, since it uses less digits than its factorization.

23147490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23147490240 in words is "twenty-three billion, one hundred forty-seven million, four hundred ninety thousand, two hundred forty".