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100022220232 = 231123109453377
BaseRepresentation
bin101110100100111001…
…0011111010111001000
3100120011201110020200021
41131021302133113020
53114321142021412
6113541035150224
710140433562344
oct1351162372710
9316151406607
10100022220232
1139467a32530
12174752a5374
1395802bc5cc
144babda6624
152906178607
hex1749c9f5c8

100022220232 has 64 divisors (see below), whose sum is σ = 215445225600. Its totient is φ = 43088855040.

The previous prime is 100022220229. The next prime is 100022220241. The reversal of 100022220232 is 232022220001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6073 + ... + 447304.

It is an arithmetic number, because the mean of its divisors is an integer number (3366331650).

Almost surely, 2100022220232 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 100022220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107722612800).

100022220232 is an abundant number, since it is smaller than the sum of its proper divisors (115423005368).

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

100022220232 is a wasteful number, since it uses less digits than its factorization.

100022220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453526 (or 453522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100022220232 its reverse (232022220001), we get a palindrome (332044440233).

The spelling of 100022220232 in words is "one hundred billion, twenty-two million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 109 184 218 253 436 506 872 1012 1199 2024 2398 2507 4796 5014 9592 10028 20056 27577 55154 110308 220616 453377 906754 1813508 3627016 4987147 9974294 10427671 19948588 20855342 39897176 41710684 49418093 83421368 98836186 114704381 197672372 229408762 395344744 458817524 543599023 917635048 1087198046 1136616139 2174396092 2273232278 4348792184 4546464556 9092929112 12502777529 25005555058 50011110116 100022220232