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22575000 = 23355743
BaseRepresentation
bin101011000011…
…1011110011000
31120110221002010
41112013132120
521234400000
62123505520
7362612220
oct126073630
946427063
1022575000
1111819a28
1276882a0
1348a54b6
142dd9080
151eadd50
hex1587798

22575000 has 192 divisors, whose sum is σ = 82494720. Its totient is φ = 5040000.

The previous prime is 22574999. The next prime is 22575001. The reversal of 22575000 is 57522.

It is an interprime number because it is at equal distance from previous prime (22574999) and next prime (22575001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22575001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 524979 + ... + 525021.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 222575000 is an apocalyptic number.

22575000 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 22575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

22575000 is an abundant number, since it is smaller than the sum of its proper divisors (59919720).

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

22575000 is an equidigital number, since it uses as much as digits as its factorization.

22575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 22575000 is about 4751.3156072818. The cubic root of 22575000 is about 282.6241394527.

The spelling of 22575000 in words is "twenty-two million, five hundred seventy-five thousand".