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23225237280 = 2532573316961
BaseRepresentation
bin10101101000010101…
…001111111100100000
32012221121101022001100
4111220111033330200
5340031130043110
614400341234400
71451354155020
oct255025177440
965847338040
1023225237280
11993904a583
124602102a00
13226194166b
1411a479da80
1590dea1bc0
hex56854ff20

23225237280 has 288 divisors, whose sum is σ = 90865127808. Its totient is φ = 5291827200.

The previous prime is 23225237257. The next prime is 23225237303. The reversal of 23225237280 is 8273252232.

It is a happy number.

23225237280 is a `hidden beast` number, since 2 + 32 + 252 + 372 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23225237257) and next prime (23225237303).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3333000 + ... + 3339960.

It is an arithmetic number, because the mean of its divisors is an integer number (315503916).

Almost surely, 223225237280 is an apocalyptic number.

23225237280 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 23225237280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45432563904).

23225237280 is an abundant number, since it is smaller than the sum of its proper divisors (67639890528).

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

23225237280 is a wasteful number, since it uses less digits than its factorization.

23225237280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23225237280 in words is "twenty-three billion, two hundred twenty-five million, two hundred thirty-seven thousand, two hundred eighty".