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22575055680 = 26325233761151
BaseRepresentation
bin10101000001100101…
…000000001101000000
32011021021221122120100
4111001211000031000
5332213203240210
614212033442400
71426300543602
oct250145001500
964237848510
1022575055680
119635037511
124460410400
13218a025b18
1411422b3172
158c1d705c0
hex541940340

22575055680 has 672 divisors, whose sum is σ = 85138979328. Its totient is φ = 5474304000.

The previous prime is 22575055673. The next prime is 22575055681. The reversal of 22575055680 is 8655057522.

22575055680 is a `hidden beast` number, since 2 + 25 + 75 + 0 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22575055681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149503605 + ... + 149503755.

Almost surely, 222575055680 is an apocalyptic number.

22575055680 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 22575055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42569489664).

22575055680 is an abundant number, since it is smaller than the sum of its proper divisors (62563923648).

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

22575055680 is a wasteful number, since it uses less digits than its factorization.

22575055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 22575055680 in words is "twenty-two billion, five hundred seventy-five million, fifty-five thousand, six hundred eighty".