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22355974152 = 23326722632
BaseRepresentation
bin10100110100100001…
…010001100000001000
32010201000201011012200
4110310201101200020
5331241112133102
614134210040200
71421000434131
oct246441214010
963630634180
1022355974152
1195324012a6
1243bab79060
13215381a495
141121164c88
158ac9e751c
hex534851808

22355974152 has 108 divisors (see below), whose sum is σ = 61699205295. Its totient is φ = 7312855968.

The previous prime is 22355974103. The next prime is 22355974213. The reversal of 22355974152 is 25147955322.

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.

22355974152 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 597 + 4 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11177987076 + 11177987076 = 105726^2 + 105726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105726.

Its product of digits (756000) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 22355974098 and 22355974107.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 85003573 + ... + 85003835.

Almost surely, 222355974152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22355974152

22355974152 is an abundant number, since it is smaller than the sum of its proper divisors (39343231143).

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

22355974152 is an equidigital number, since it uses as much as digits as its factorization.

22355974152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 335 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 22355974152 in words is "twenty-two billion, three hundred fifty-five million, nine hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 263 268 402 526 536 603 789 804 1052 1206 1578 1608 2104 2367 2412 3156 4489 4734 4824 6312 8978 9468 13467 17621 17956 18936 26934 35242 35912 40401 52863 53868 69169 70484 80802 105726 107736 138338 140968 158589 161604 207507 211452 276676 317178 323208 415014 422904 553352 622521 634356 830028 1180607 1245042 1268712 1660056 2361214 2490084 3541821 4634323 4722428 4980168 7083642 9268646 9444856 10625463 13902969 14167284 18537292 21250926 27805938 28334568 37074584 41708907 42501852 55611876 83417814 85003704 111223752 166835628 310499641 333671256 620999282 931498923 1241998564 1862997846 2483997128 2794496769 3725995692 5588993538 7451991384 11177987076 22355974152