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22354163226 = 23217457159853
BaseRepresentation
bin10100110100011010…
…010111011000011010
32010200220022011002100
4110310122113120122
5331240131210401
614134103144230
71420646152353
oct246432273032
963626264070
1022354163226
11953138476a
1243ba445076
132153335125
141120c12d2a
158ac78ab86
hex53469761a

22354163226 has 48 divisors (see below), whose sum is σ = 51395618664. Its totient is φ = 6997681152.

The previous prime is 22354163207. The next prime is 22354163231. The reversal of 22354163226 is 62236145322.

22354163226 is a `hidden beast` number, since 2 + 235 + 416 + 3 + 2 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20619524025 + 1734639201 = 143595^2 + 41649^2 .

It is a super-2 number, since 2×223541632262 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59916 + ... + 219768.

Almost surely, 222354163226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22354163226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697809332).

22354163226 is an abundant number, since it is smaller than the sum of its proper divisors (29041455438).

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

22354163226 is a wasteful number, since it uses less digits than its factorization.

22354163226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160335 (or 160332 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 22354163226 in words is "twenty-two billion, three hundred fifty-four million, one hundred sixty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 457 914 1371 2742 4113 7769 8226 15538 23307 46614 69921 139842 159853 319706 479559 959118 1438677 2717501 2877354 5435002 8152503 16305006 24457509 48915018 73052821 146105642 219158463 438316926 657475389 1241897957 1314950778 2483795914 3725693871 7451387742 11177081613 22354163226