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23229831905280 = 216335711134361
BaseRepresentation
bin1010100100000100111011…
…11000010000000000000000
310001020202020221000021101000
411102002131320100000000
511021044143431432110
6121223345405012000
74615204614156540
oct522023570200000
9101222227007330
1023229831905280
117446797567990
12273211b854000
13cc6743731b60
145a4489205320
152a43dba221c0
hex15209de10000

23229831905280 has 4352 divisors, whose sum is σ = 115335098081280. Its totient is φ = 4280706662400.

The previous prime is 23229831905249. The next prime is 23229831905297. The reversal of 23229831905280 is 8250913892232.

23229831905280 is a `hidden beast` number, since 2 + 3 + 2 + 29 + 8 + 3 + 1 + 90 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 380816916450 + ... + 380816916510.

Almost surely, 223229831905280 is an apocalyptic number.

23229831905280 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 23229831905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57667549040640).

23229831905280 is an abundant number, since it is smaller than the sum of its proper divisors (92105266176000).

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

23229831905280 is a wasteful number, since it uses less digits than its factorization.

23229831905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 23229831905280 in words is "twenty-three trillion, two hundred twenty-nine billion, eight hundred thirty-one million, nine hundred five thousand, two hundred eighty".