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23322300320 = 25511127151691
BaseRepresentation
bin10101101110000111…
…100000111110100000
32020012101000121111202
4111232013200332200
5340231002102240
614414125500332
71453643165444
oct255607407640
966171017452
1023322300320
119988915470
12462a7116a8
132278a97407
1411b3628824
15917776315
hex56e1e0fa0

23322300320 has 192 divisors, whose sum is σ = 61070671872. Its totient is φ = 8346240000.

The previous prime is 23322300307. The next prime is 23322300347. The reversal of 23322300320 is 2300322332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23322300292 and 23322300301.

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 31 ways as a sum of consecutive naturals, for example, 33751175 + ... + 33751865.

It is an arithmetic number, because the mean of its divisors is an integer number (318076416).

Almost surely, 223322300320 is an apocalyptic number.

23322300320 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 23322300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30535335936).

23322300320 is an abundant number, since it is smaller than the sum of its proper divisors (37748371552).

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

23322300320 is a wasteful number, since it uses less digits than its factorization.

23322300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23322300320 its reverse (2300322332), we get a palindrome (25622622652).

The spelling of 23322300320 in words is "twenty-three billion, three hundred twenty-two million, three hundred thousand, three hundred twenty".