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23315446000 = 24537111011499
BaseRepresentation
bin10101101101101101…
…010111100011110000
32020011220010101011001
4111231231113203300
5340222223233000
614413322531344
71453531010140
oct255555274360
966156111131
1023315446000
119984a63740
124628366b54
1322775375c2
1411b2762920
15916d7046a
hex56db578f0

23315446000 has 320 divisors, whose sum is σ = 71031168000. Its totient is φ = 7190400000.

The previous prime is 23315445917. The next prime is 23315446001. The reversal of 23315446000 is 64451332.

It is a super-2 number, since 2×233154460002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23315446000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23315446001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15553251 + ... + 15554749.

It is an arithmetic number, because the mean of its divisors is an integer number (221972400).

Almost surely, 223315446000 is an apocalyptic number.

23315446000 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 23315446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515584000).

23315446000 is an abundant number, since it is smaller than the sum of its proper divisors (47715722000).

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

23315446000 is a wasteful number, since it uses less digits than its factorization.

23315446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 23315446000 its reverse (64451332), we get a palindrome (23379897332).

The spelling of 23315446000 in words is "twenty-three billion, three hundred fifteen million, four hundred forty-six thousand".