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22854961 = 149157977
BaseRepresentation
bin101011100101…
…1110100110001
31121000011010001
41113023310301
521322324321
62133510001
7365156353
oct127136461
947004101
1022854961
11119a02a8
1277a2301
134972a5c
14306d0d3
152016c91
hex15cbd31

22854961 has 8 divisors (see below), whose sum is σ = 23178600. Its totient is φ = 22533888.

The previous prime is 22854959. The next prime is 22854983. The reversal of 22854961 is 16945822.

It can be written as a sum of positive squares in 4 ways, for example, as 2433600 + 20421361 = 1560^2 + 4519^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22854961 - 21 = 22854959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22854961.

It is not an unprimeable number, because it can be changed into a prime (22854901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22905 + ... + 23881.

It is an arithmetic number, because the mean of its divisors is an integer number (2897325).

Almost surely, 222854961 is an apocalyptic number.

It is an amenable number.

22854961 is a deficient number, since it is larger than the sum of its proper divisors (323639).

22854961 is a wasteful number, since it uses less digits than its factorization.

22854961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283.

The product of its digits is 34560, while the sum is 37.

The square root of 22854961 is about 4780.6862478100. The cubic root of 22854961 is about 283.7876520510.

The spelling of 22854961 in words is "twenty-two million, eight hundred fifty-four thousand, nine hundred sixty-one".

Divisors: 1 149 157 977 23393 145573 153389 22854961