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22120902 = 2321971911
BaseRepresentation
bin101010001100…
…0100111000110
31112121212011200
41110120213012
521130332102
62110043330
7356011266
oct124304706
945555150
1022120902
1111539841
1274a9546
1347768bb
142d1b7a6
151e1e51c
hex15189c6

22120902 has 48 divisors (see below), whose sum is σ = 51217920. Its totient is φ = 6879600.

The previous prime is 22120897. The next prime is 22120907. The reversal of 22120902 is 20902122.

It is an interprime number because it is at equal distance from previous prime (22120897) and next prime (22120907).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23827 + ... + 24737.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 222120902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

22120902 is an abundant number, since it is smaller than the sum of its proper divisors (29097018).

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

22120902 is a wasteful number, since it uses less digits than its factorization.

22120902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22120902 is about 4703.2862978985. The cubic root of 22120902 is about 280.7162868044.

The spelling of 22120902 in words is "twenty-two million, one hundred twenty thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 911 1278 1349 1822 2698 2733 4047 5466 8094 8199 12141 16398 17309 24282 34618 51927 64681 103854 129362 155781 194043 311562 388086 582129 1164258 1228939 2457878 3686817 7373634 11060451 22120902