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22234343688 = 2332175732
BaseRepresentation
bin10100101101010001…
…010010100100001000
32010101112211200120200
4110231101102210020
5331013442444223
614114143052200
71414662542304
oct245521224410
963345750520
1022234343688
11947a786557
1243862a1060
1321345723ab
14110cd42d04
158a1ebda43
hex52d452908

22234343688 has 36 divisors (see below), whose sum is σ = 60221441085. Its totient is φ = 7411026144.

The previous prime is 22234343687. The next prime is 22234343693. The reversal of 22234343688 is 88634343222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22234343688 is a `hidden beast` number, since 2 + 223 + 4 + 343 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21322424484 + 911919204 = 146022^2 + 30198^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105438.

It is a super-2 number, since 2×222343436882 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22234343687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1256470 + ... + 1274042.

Almost surely, 222234343688 is an apocalyptic number.

It is an amenable number.

22234343688 is an abundant number, since it is smaller than the sum of its proper divisors (37987097397).

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

22234343688 is an frugal number, since it uses more digits than its factorization.

22234343688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35158 (or 17578 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 22234343688 in words is "twenty-two billion, two hundred thirty-four million, three hundred forty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17573 35146 52719 70292 105438 140584 158157 210876 316314 421752 632628 1265256 308810329 617620658 926430987 1235241316 1852861974 2470482632 2779292961 3705723948 5558585922 7411447896 11117171844 22234343688