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23122233000 = 23335361101139
BaseRepresentation
bin10101100010001100…
…010100011010101000
32012200102120010202000
4111202030110122220
5334323242424000
614342221411000
71445663511006
oct254214243250
965612503660
1023122233000
119895996979
124593709a60
1322464b8599
141194c29a76
15904e07000
hex5623146a8

23122233000 has 512 divisors, whose sum is σ = 82869696000. Its totient is φ = 5961600000.

The previous prime is 23122232999. The next prime is 23122233031. The reversal of 23122233000 is 33222132.

It is a happy number.

23122233000 is a `hidden beast` number, since 2 + 312 + 22 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166346931 + ... + 166347069.

It is an arithmetic number, because the mean of its divisors is an integer number (161854875).

Almost surely, 223122233000 is an apocalyptic number.

23122233000 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 23122233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434848000).

23122233000 is an abundant number, since it is smaller than the sum of its proper divisors (59747463000).

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

23122233000 is a wasteful number, since it uses less digits than its factorization.

23122233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23122233000 its reverse (33222132), we get a palindrome (23155455132).

The spelling of 23122233000 in words is "twenty-three billion, one hundred twenty-two million, two hundred thirty-three thousand".