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22874040 = 23325729313
BaseRepresentation
bin101011101000…
…0011110111000
31121001010021200
41113100132320
521323432130
62134134200
7365266110
oct127203670
947033250
1022874040
1111a03672
1277b1360
13497b647
143076040
15201c760
hex15d07b8

22874040 has 192 divisors, whose sum is σ = 88171200. Its totient is φ = 5031936.

The previous prime is 22874017. The next prime is 22874051. The reversal of 22874040 is 4047822.

It is a junction number, because it is equal to n+sod(n) for n = 22873995 and 22874013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 72924 + ... + 73236.

It is an arithmetic number, because the mean of its divisors is an integer number (459225).

Almost surely, 222874040 is an apocalyptic number.

22874040 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 22874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44085600).

22874040 is an abundant number, since it is smaller than the sum of its proper divisors (65297160).

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

22874040 is a wasteful number, since it uses less digits than its factorization.

22874040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22874040 is about 4782.6812563666. The cubic root of 22874040 is about 283.8665974012.

The spelling of 22874040 in words is "twenty-two million, eight hundred seventy-four thousand, forty".