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22893264 = 2432158981
BaseRepresentation
bin101011101010…
…1001011010000
31121002002122200
41113111023100
521330041024
62134403200
7365406132
oct127251320
947062580
1022893264
1111a17059
127800500
134987314
14307d052
1520232c9
hex15d52d0

22893264 has 30 divisors (see below), whose sum is σ = 64069746. Its totient is φ = 7631040.

The previous prime is 22893259. The next prime is 22893281. The reversal of 22893264 is 46239822.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 5253264 = 4200^2 + 2292^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79347 + ... + 79634.

Almost surely, 222893264 is an apocalyptic number.

22893264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22893264 is an abundant number, since it is smaller than the sum of its proper divisors (41176482).

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

22893264 is a wasteful number, since it uses less digits than its factorization.

22893264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158995 (or 158986 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22893264 is about 4784.6905856074. The cubic root of 22893264 is about 283.9460983467.

The spelling of 22893264 in words is "twenty-two million, eight hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 158981 317962 476943 635924 953886 1271848 1430829 1907772 2543696 2861658 3815544 5723316 7631088 11446632 22893264