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22102951752 = 23327225032
BaseRepresentation
bin10100100101011100…
…000100011101001000
32010001101121021201200
4110211130010131020
5330231323424002
614053130544200
71411505663400
oct244534043510
963041537650
1022102951752
1194125a3882
12434a298060
13211328a19b
1410d96dd800
158956b7b1c
hex525704748

22102951752 has 108 divisors (see below), whose sum is σ = 69663406995. Its totient is φ = 6312606048.

The previous prime is 22102951643. The next prime is 22102951777. The reversal of 22102951752 is 25715920122.

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.

It can be written as a sum of positive squares in only one way, i.e., 11051475876 + 11051475876 = 105126^2 + 105126^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105126.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8829333 + ... + 8831835.

Almost surely, 222102951752 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 22102951752

22102951752 is an abundant number, since it is smaller than the sum of its proper divisors (47560455243).

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

22102951752 is an equidigital number, since it uses as much as digits as its factorization.

22102951752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 22102951752 in words is "twenty-two billion, one hundred two million, nine hundred fifty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2503 3528 5006 7509 10012 15018 17521 20024 22527 30036 35042 45054 52563 60072 70084 90108 105126 122647 140168 157689 180216 210252 245294 315378 367941 420504 490588 630756 735882 981176 1103823 1261512 1471764 2207646 2943528 4415292 6265009 8830584 12530018 18795027 25060036 37590054 43855063 50120072 56385081 75180108 87710126 112770162 131565189 150360216 175420252 225540324 263130378 306985441 350840504 394695567 451080648 526260756 613970882 789391134 920956323 1052521512 1227941764 1578782268 1841912646 2455883528 2762868969 3157564536 3683825292 5525737938 7367650584 11051475876 22102951752