Search a number
-
+
22497264 = 243417359
BaseRepresentation
bin101010111010…
…0011111110000
31120022222110000
41111310133300
521224403024
62122110000
7362136456
oct125643760
946288400
1022497264
1111776589
12764b300
134878cba
142db89d6
151e95cc9
hex15747f0

22497264 has 50 divisors (see below), whose sum is σ = 65117360. Its totient is φ = 7498656.

The previous prime is 22497263. The next prime is 22497271. The reversal of 22497264 is 46279422.

It is a super-2 number, since 2×224972642 = 1012253774971392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22497263) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7384 + ... + 9975.

Almost surely, 222497264 is an apocalyptic number.

22497264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22497264 is an abundant number, since it is smaller than the sum of its proper divisors (42620096).

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

22497264 is a wasteful number, since it uses less digits than its factorization.

22497264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17364 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22497264 is about 4743.1280817621. The cubic root of 22497264 is about 282.2993652023.

The spelling of 22497264 in words is "twenty-two million, four hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 17359 34718 52077 69436 104154 138872 156231 208308 277744 312462 416616 468693 624924 833232 937386 1249848 1406079 1874772 2499696 2812158 3749544 5624316 7499088 11248632 22497264