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22875840 = 2632513247
BaseRepresentation
bin101011101000…
…0111011000000
31121001012202100
41113100323000
521324011330
62134150400
7365304261
oct127207300
947035670
1022875840
1111a04a59
1277b2400
13497c400
143076968
15201d060
hex15d0ec0

22875840 has 252 divisors, whose sum is σ = 87014304. Its totient is φ = 5511168.

The previous prime is 22875817. The next prime is 22875857. The reversal of 22875840 is 4857822.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22875795 and 22875804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486697 + ... + 486743.

Almost surely, 222875840 is an apocalyptic number.

22875840 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 22875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43507152).

22875840 is an abundant number, since it is smaller than the sum of its proper divisors (64138464).

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

22875840 is a wasteful number, since it uses less digits than its factorization.

22875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 22875840 is about 4782.8694316278. The cubic root of 22875840 is about 283.8740431996.

The spelling of 22875840 in words is "twenty-two million, eight hundred seventy-five thousand, eight hundred forty".