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222015050100102 = 23726597243158209
BaseRepresentation
bin110010011110101111101000…
…001100100010110110000110
31002010002102122120100201022010
4302132233220030202312012
5213044443310311200402
62104104150032315050
764523025623516400
oct6236575014426606
91063072576321263
10222015050100102
1164817065952126
1220a980070a2a86
1396b5c10b44b4c
143cb782b477b70
151aa01c3311a6c
hexc9ebe8322d86

222015050100102 has 96 divisors (see below), whose sum is σ = 517383303465600. Its totient is φ = 63327470395392.

The previous prime is 222015050100047. The next prime is 222015050100119. The reversal of 222015050100102 is 201001050510222.

222015050100102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403223174 + ... + 1403381382.

It is an arithmetic number, because the mean of its divisors is an integer number (5389409411100).

Almost surely, 2222015050100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222015050100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258691651732800).

222015050100102 is an abundant number, since it is smaller than the sum of its proper divisors (295368253365498).

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

222015050100102 is a wasteful number, since it uses less digits than its factorization.

222015050100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166130 (or 166123 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 222015050100102 in words is "two hundred twenty-two trillion, fifteen billion, fifty million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 659 1318 1977 3954 4613 7243 9226 13839 14486 21729 27678 32291 43458 50701 64582 96873 101402 152103 158209 193746 304206 316418 354907 474627 709814 949254 1064721 1107463 2129442 2214926 3322389 4773137 6644778 7752241 9546274 14319411 15504482 23256723 28638822 33411959 46513446 66823918 100235877 104259731 200471754 208519462 233883713 312779193 467767426 625558386 701651139 729818117 1145907787 1403302278 1459636234 2189454351 2291815574 3437723361 4378908702 5108726819 6875446722 8021354509 10217453638 15326180457 16042709018 24064063527 30652360914 48128127054 56149481563 112298963126 168448444689 336896889378 755153231633 1510306463266 2265459694899 4530919389798 5286072621431 10572145242862 15858217864293 31716435728586 37002508350017 74005016700034 111007525050051 222015050100102