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23122210320 = 24335113732609
BaseRepresentation
bin10101100010001100…
…001110111000010000
32012200102111222122000
4111202030032320100
5334323241212240
614342221114000
71445663354616
oct254214167020
965612458560
1023122210320
119895980930
1245936b8900
1322464ab171
141194c216b6
15904e00430
hex56230ee10

23122210320 has 320 divisors, whose sum is σ = 87149779200. Its totient is φ = 5588213760.

The previous prime is 23122210291. The next prime is 23122210333. The reversal of 23122210320 is 2301222132.

23122210320 is a `hidden beast` number, since 2 + 312 + 22 + 10 + 320 = 666.

It is a super-2 number, since 2×231222103202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23122210293 and 23122210302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8861176 + ... + 8863784.

It is an arithmetic number, because the mean of its divisors is an integer number (272343060).

Almost surely, 223122210320 is an apocalyptic number.

23122210320 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 23122210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574889600).

23122210320 is an abundant number, since it is smaller than the sum of its proper divisors (64027568880).

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

23122210320 is a wasteful number, since it uses less digits than its factorization.

23122210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23122210320 its reverse (2301222132), we get a palindrome (25423432452).

The spelling of 23122210320 in words is "twenty-three billion, one hundred twenty-two million, two hundred ten thousand, three hundred twenty".