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22955148 = 2232532227
BaseRepresentation
bin101011110010…
…0010010001100
31121012020112200
41113210102030
521334031043
62140001500
7366054426
oct127442214
947166480
1022955148
1111a595a7
127830290
1349a9538
143097816
1520367d3
hex15e448c

22955148 has 54 divisors (see below), whose sum is σ = 59401524. Its totient is φ = 7474272.

The previous prime is 22955137. The next prime is 22955183. The reversal of 22955148 is 84155922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 101011 + ... + 101237.

Almost surely, 222955148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22955148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700762).

22955148 is an abundant number, since it is smaller than the sum of its proper divisors (36446376).

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

22955148 is a wasteful number, since it uses less digits than its factorization.

22955148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 285 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 22955148 is about 4791.1530971156. The cubic root of 22955148 is about 284.2017180939.

The spelling of 22955148 in words is "twenty-two million, nine hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 227 318 454 477 636 681 908 954 1362 1908 2043 2724 2809 4086 5618 8172 8427 11236 12031 16854 24062 25281 33708 36093 48124 50562 72186 101124 108279 144372 216558 433116 637643 1275286 1912929 2550572 3825858 5738787 7651716 11477574 22955148