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10202204168 = 23132412672
BaseRepresentation
bin10011000000001100…
…10100100000001000
3222100000020200002122
421200012110200020
5131343231013133
64404204350412
7510551206322
oct114006244010
928300220078
1010202204168
114365972aa2
121b88845408
13c67866b00
146cad5a612
153eaa00498
hex260194808

10202204168 has 108 divisors (see below), whose sum is σ = 21552946695. Its totient is φ = 4525297920.

The previous prime is 10202204167. The next prime is 10202204171. The reversal of 10202204168 is 86140220201.

It is a happy number.

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 5 ways, for example, as 289612324 + 9912591844 = 17018^2 + 99562^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202204167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152271671 + ... + 152271737.

Almost surely, 210202204168 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 10202204168

10202204168 is an abundant number, since it is smaller than the sum of its proper divisors (11350742527).

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

10202204168 is an equidigital number, since it uses as much as digits as its factorization.

10202204168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10202204168 its reverse (86140220201), we get a palindrome (96342424369).

The spelling of 10202204168 in words is "ten billion, two hundred two million, two hundred four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 41 52 67 82 104 134 164 169 268 328 338 533 536 676 871 1066 1352 1681 1742 2132 2747 3362 3484 4264 4489 5494 6724 6929 6968 8978 10988 11323 13448 13858 17956 21853 21976 22646 27716 35711 35912 43706 45292 55432 58357 71422 87412 90584 112627 116714 142844 174824 184049 225254 233428 284089 285688 368098 450508 464243 466856 568178 736196 758641 901016 928486 1136356 1464151 1472392 1517282 1856972 2272712 2392637 2928302 3034564 3713944 4785274 5856604 6069128 7546009 9570548 11713208 15092018 19033963 19141096 30184036 31104281 38067926 60368072 62208562 76135852 98098117 124417124 152271704 196196234 248834248 392392468 784784936 1275275521 2550551042 5101102084 10202204168