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22960164 = 22323412029
BaseRepresentation
bin101011110010…
…1100000100100
31121012111102110
41113211200210
521334211124
62140041020
7366105153
oct127454044
947174373
1022960164
1111a62347
127833170
1349ab8c6
14309959a
152038029
hex15e5824

22960164 has 48 divisors (see below), whose sum is σ = 57294720. Its totient is φ = 7138560.

The previous prime is 22960129. The next prime is 22960169. The reversal of 22960164 is 46106922.

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 not an unprimeable number, because it can be changed into a prime (22960169) 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 15 ways as a sum of consecutive naturals, for example, 10302 + ... + 12330.

It is an arithmetic number, because the mean of its divisors is an integer number (1193640).

Almost surely, 222960164 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 22960164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28647360).

22960164 is an abundant number, since it is smaller than the sum of its proper divisors (34334556).

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

22960164 is a wasteful number, since it uses less digits than its factorization.

22960164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22960164 is about 4791.6765333232. The cubic root of 22960164 is about 284.2224171835. Note that the first 3 decimals are identical.

The spelling of 22960164 in words is "twenty-two million, nine hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2029 2829 3772 4058 5658 6087 8116 11316 12174 24348 46667 83189 93334 140001 166378 186668 249567 280002 332756 499134 560004 998268 1913347 3826694 5740041 7653388 11480082 22960164