[go: up one dir, main page]

Search a number
-
+
22285344 = 2532310093
BaseRepresentation
bin101010100000…
…0110000100000
31112221012202010
41111000300200
521201112334
62113352520
7360264564
oct125006040
945835663
1022285344
1111641344
127568740
1348036c3
142d616a4
151e530e9
hex1540c20

22285344 has 48 divisors (see below), whose sum is σ = 61048512. Its totient is φ = 7104768.

The previous prime is 22285343. The next prime is 22285349. The reversal of 22285344 is 44358222.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (22285343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2839 + ... + 7254.

It is an arithmetic number, because the mean of its divisors is an integer number (1271844).

Almost surely, 222285344 is an apocalyptic number.

22285344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22285344 is an abundant number, since it is smaller than the sum of its proper divisors (38763168).

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

22285344 is a wasteful number, since it uses less digits than its factorization.

22285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10121 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 22285344 is about 4720.7355359096. The cubic root of 22285344 is about 281.4101649702.

The spelling of 22285344 in words is "twenty-two million, two hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 10093 20186 30279 40372 60558 80744 121116 161488 232139 242232 322976 464278 484464 696417 928556 968928 1392834 1857112 2785668 3714224 5571336 7428448 11142672 22285344