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22997664 = 2532471699
BaseRepresentation
bin101011110111…
…0101010100000
31121021101212100
41113232222200
521341411124
62140530400
7366322404
oct127565240
947241770
1022997664
1111a88538
127850a00
1349c29b1
1430a9104
1520441c9
hex15eeaa0

22997664 has 72 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 7498368.

The previous prime is 22997641. The next prime is 22997693. The reversal of 22997664 is 46679922.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 12687 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 222997664 is an apocalyptic number.

22997664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

22997664 is an abundant number, since it is smaller than the sum of its proper divisors (43832736).

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

22997664 is a wasteful number, since it uses less digits than its factorization.

22997664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 22997664 is about 4795.5879722929. The cubic root of 22997664 is about 284.3770697269.

The spelling of 22997664 in words is "twenty-two million, nine hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 1699 2256 3384 3398 4512 5097 6768 6796 10194 13536 13592 15291 20388 27184 30582 40776 54368 61164 79853 81552 122328 159706 163104 239559 244656 319412 479118 489312 638824 718677 958236 1277648 1437354 1916472 2555296 2874708 3832944 5749416 7665888 11498832 22997664