Search a number
-
+
22974660 = 22325127637
BaseRepresentation
bin101011110100…
…1000011000100
31121020020022100
41113221003010
521340142120
62140232100
7366165342
oct127510304
947206270
1022974660
1111a72225
12783b630
1349b5397
1430a0992
15203c490
hex15e90c4

22974660 has 36 divisors (see below), whose sum is σ = 69690348. Its totient is φ = 6126528.

The previous prime is 22974617. The next prime is 22974661. The reversal of 22974660 is 6647922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13089924 + 9884736 = 3618^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (22974661) 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 11 ways as a sum of consecutive naturals, for example, 63639 + ... + 63998.

It is an arithmetic number, because the mean of its divisors is an integer number (1935843).

Almost surely, 222974660 is an apocalyptic number.

22974660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22974660 is an abundant number, since it is smaller than the sum of its proper divisors (46715688).

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

22974660 is a wasteful number, since it uses less digits than its factorization.

22974660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127652 (or 127647 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 22974660 is about 4793.1889176205. The cubic root of 22974660 is about 284.2822196220.

The spelling of 22974660 in words is "twenty-two million, nine hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 127637 255274 382911 510548 638185 765822 1148733 1276370 1531644 1914555 2297466 2552740 3829110 4594932 5743665 7658220 11487330 22974660