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22161681684 = 22321924931981
BaseRepresentation
bin10100101000111100…
…000110110100010100
32010012111010002001100
4110220330012310110
5330341342303214
614103025430100
71413121120602
oct245074066424
963174102040
1022161681684
11944276750a
124365a9b330
1321224b101c
14110342a872
1589a919309
hex528f06d14

22161681684 has 36 divisors (see below), whose sum is σ = 56024468500. Its totient is φ = 7386612480.

The previous prime is 22161681683. The next prime is 22161681697. The reversal of 22161681684 is 48618616122.

It is a happy number.

22161681684 is a `hidden beast` number, since 2 + 21 + 616 + 8 + 1 + 6 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8665748100 + 13495933584 = 93090^2 + 116172^2 .

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

It is a super-2 number, since 2×221616816842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22161681683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676974 + ... + 708954.

Almost surely, 222161681684 is an apocalyptic number.

It is an amenable number.

22161681684 is an abundant number, since it is smaller than the sum of its proper divisors (33862786816).

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

22161681684 is a wasteful number, since it uses less digits than its factorization.

22161681684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51240 (or 51235 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 22161681684 in words is "twenty-two billion, one hundred sixty-one million, six hundred eighty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 19249 31981 38498 57747 63962 76996 95943 115494 127924 173241 191886 230988 287829 346482 383772 575658 692964 1151316 615602269 1231204538 1846806807 2462409076 3693613614 5540420421 7387227228 11080840842 22161681684