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22148832 = 2531912143
BaseRepresentation
bin101010001111…
…1011011100000
31112200021111010
41110133123200
521132230312
62110420520
7356155566
oct124373340
945607433
1022148832
1111558822
127501740
134786524
142d27a36
151e2793c
hex151f6e0

22148832 has 48 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 6993792.

The previous prime is 22148821. The next prime is 22148843. The reversal of 22148832 is 23884122.

It is an interprime number because it is at equal distance from previous prime (22148821) and next prime (22148843).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 22148832.

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 7 ways as a sum of consecutive naturals, for example, 4248 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (1275120).

Almost surely, 222148832 is an apocalyptic number.

It is an amenable number.

22148832 is an abundant number, since it is smaller than the sum of its proper divisors (39056928).

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

22148832 is a wasteful number, since it uses less digits than its factorization.

22148832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12167 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 22148832 is about 4706.2545617508. The cubic root of 22148832 is about 280.8343818746.

The spelling of 22148832 in words is "twenty-two million, one hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 12143 24286 36429 48572 72858 97144 145716 194288 230717 291432 388576 461434 582864 692151 922868 1165728 1384302 1845736 2768604 3691472 5537208 7382944 11074416 22148832