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23013252240 = 243511171812833
BaseRepresentation
bin10101011011101100…
…100101110010010000
32012101211111100020120
4111123230211302100
5334112343032430
614323325510240
71443201262566
oct253354456220
965354440216
1023013252240
11983a421030
124563112380
132229a4c124
14118457ba36
158ea57b610
hex55bb25c90

23013252240 has 320 divisors, whose sum is σ = 82889194752. Its totient is φ = 5219942400.

The previous prime is 23013252203. The next prime is 23013252323. The reversal of 23013252240 is 4225231032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23013252240.

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 63 ways as a sum of consecutive naturals, for example, 8121864 + ... + 8124696.

Almost surely, 223013252240 is an apocalyptic number.

23013252240 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 23013252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41444597376).

23013252240 is an abundant number, since it is smaller than the sum of its proper divisors (59875942512).

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

23013252240 is a wasteful number, since it uses less digits than its factorization.

23013252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 23013252240 its reverse (4225231032), we get a palindrome (27238483272).

The spelling of 23013252240 in words is "twenty-three billion, thirteen million, two hundred fifty-two thousand, two hundred forty".