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22139580 = 22353111903
BaseRepresentation
bin101010001110…
…1001010111100
31112122210210110
41110131022330
521131431310
62110310020
7356116611
oct124351274
945583713
1022139580
1111551881
1274b8310
134782258
142d24508
151e24d20
hex151d2bc

22139580 has 48 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 5712960.

The previous prime is 22139569. The next prime is 22139581. The reversal of 22139580 is 8593122.

It is a happy number.

It is a super-2 number, since 2×221395802 = 980322005152800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22139581) 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 15 ways as a sum of consecutive naturals, for example, 4092 + ... + 7811.

It is an arithmetic number, because the mean of its divisors is an integer number (1333248).

Almost surely, 222139580 is an apocalyptic number.

22139580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22139580 is an abundant number, since it is smaller than the sum of its proper divisors (41856324).

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

22139580 is a wasteful number, since it uses less digits than its factorization.

22139580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 22139580 is about 4705.2715118259. The cubic root of 22139580 is about 280.7952730919.

The spelling of 22139580 in words is "twenty-two million, one hundred thirty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 11903 23806 35709 47612 59515 71418 119030 142836 178545 238060 357090 368993 714180 737986 1106979 1475972 1844965 2213958 3689930 4427916 5534895 7379860 11069790 22139580