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22104120 = 23351671103
BaseRepresentation
bin101010001010…
…0100000111000
31112121000011010
41110110200320
521124312440
62105433520
7355611333
oct124244070
945530133
1022104120
1111528175
12749b8a0
13476c07c
142d1561a
151e19580
hex1514838

22104120 has 64 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 5853824.

The previous prime is 22104113. The next prime is 22104151. The reversal of 22104120 is 2140122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22104096 and 22104105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19489 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 222104120 is an apocalyptic number.

22104120 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 22104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

22104120 is an abundant number, since it is smaller than the sum of its proper divisors (44665800).

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

22104120 is a wasteful number, since it uses less digits than its factorization.

22104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22104120 is about 4701.5018876950. The cubic root of 22104120 is about 280.6452804691.

Adding to 22104120 its reverse (2140122), we get a palindrome (24244242).

The spelling of 22104120 in words is "twenty-two million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1103 1336 1670 2004 2206 2505 3309 3340 4008 4412 5010 5515 6618 6680 8824 10020 11030 13236 16545 20040 22060 26472 33090 44120 66180 132360 184201 368402 552603 736804 921005 1105206 1473608 1842010 2210412 2763015 3684020 4420824 5526030 7368040 11052060 22104120