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23197307772240 = 24335729109569853
BaseRepresentation
bin1010100011001000010110…
…10010100001110101010000
310001010122022021010010102000
411101210023102201311100
511020031041242202430
6121200410203554000
74612643624460330
oct521441322416520
9101118267103360
1023197307772240
117433a17537398
12272796352b900
13cc365c43ac14
145a2a818670c0
152a3636501e60
hex15190b4a1d50

23197307772240 has 1280 divisors, whose sum is σ = 95611380480000. Its totient is φ = 5057588035584.

The previous prime is 23197307772229. The next prime is 23197307772281. The reversal of 23197307772240 is 4227770379132.

23197307772240 is a `hidden beast` number, since 2 + 3 + 1 + 97 + 307 + 7 + 7 + 2 + 240 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27194967654 + ... + 27194968506.

It is an arithmetic number, because the mean of its divisors is an integer number (74696391000).

Almost surely, 223197307772240 is an apocalyptic number.

23197307772240 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 23197307772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47805690240000).

23197307772240 is an abundant number, since it is smaller than the sum of its proper divisors (72414072707760).

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

23197307772240 is a wasteful number, since it uses less digits than its factorization.

23197307772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 23197307772240 in words is "twenty-three trillion, one hundred ninety-seven billion, three hundred seven million, seven hundred seventy-two thousand, two hundred forty".