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23228192257920 = 2733513177758189
BaseRepresentation
bin1010100100000001111000…
…01001011111011110000000
310001020121000122201120001000
411102000330021133132000
511021032314204223140
6121222514553412000
74615116154330536
oct522007411373600
9101217018646030
1023228192257920
117446025a76621
12273194270a000
13cc6541b26c10
145a4371550156
152a4342ae0a30
hex15203c25f780

23228192257920 has 512 divisors, whose sum is σ = 88646087376000. Its totient is φ = 5714393038848.

The previous prime is 23228192257889. The next prime is 23228192257997. The reversal of 23228192257920 is 2975229182232.

23228192257920 is a `hidden beast` number, since 2 + 3 + 2 + 28 + 1 + 9 + 22 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399156186 + ... + 399214374.

Almost surely, 223228192257920 is an apocalyptic number.

23228192257920 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 23228192257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323043688000).

23228192257920 is an abundant number, since it is smaller than the sum of its proper divisors (65417895118080).

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

23228192257920 is a wasteful number, since it uses less digits than its factorization.

23228192257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60007 (or 59989 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 23228192257920 in words is "twenty-three trillion, two hundred twenty-eight billion, one hundred ninety-two million, two hundred fifty-seven thousand, nine hundred twenty".