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22144051525401 = 3213761248706173
BaseRepresentation
bin1010000100011110100000…
…10100110011011100011001
32220101221200000200001101100
411002033100110303130121
510400302004142303101
6115032500431142013
74443566145212451
oct502172024633431
986357600601340
1022144051525401
11706826a878a63
1225977ba074909
13c482378cc2b0
14567ac6462d61
1528603e5d6e86
hex1423d0533719

22144051525401 has 24 divisors (see below), whose sum is σ = 34491567035016. Its totient is φ = 13609201731840.

The previous prime is 22144051525397. The next prime is 22144051525457. The reversal of 22144051525401 is 10452515044122.

22144051525401 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 40 + 51 + 525 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4844907243225 + 17299144282176 = 2201115^2 + 4159224^2 .

It is not a de Polignac number, because 22144051525401 - 22 = 22144051525397 is a prime.

It is a super-2 number, since 2×221440515254012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22144051523401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124264050 + ... + 124442123.

It is an arithmetic number, because the mean of its divisors is an integer number (1437148626459).

Almost surely, 222144051525401 is an apocalyptic number.

It is an amenable number.

22144051525401 is a deficient number, since it is larger than the sum of its proper divisors (12347515509615).

22144051525401 is a wasteful number, since it uses less digits than its factorization.

22144051525401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248706953 (or 248706950 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 22144051525401 its reverse (10452515044122), we get a palindrome (32596566569523).

The spelling of 22144051525401 in words is "twenty-two trillion, one hundred forty-four billion, fifty-one million, five hundred twenty-five thousand, four hundred one".

Divisors: 1 3 9 13 39 117 761 2283 6849 9893 29679 89037 248706173 746118519 2238355557 3233180249 9699540747 29098622241 189265397653 567796192959 1703388578877 2460450169489 7381350508467 22144051525401