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222211112202112 = 2711198306336431
BaseRepresentation
bin110010100001100110001110…
…011010000110111110000000
31002010210011201110210110021211
4302201212032122012332000
5213111201324210431422
62104334213051455504
764543136340060265
oct6241461632067600
91063704643713254
10222211112202112
1164892226896280
1220b0a003a57594
1396cb558377267
143cc310a56d26c
151aa534abcb577
hexca198e686f80

222211112202112 has 64 divisors (see below), whose sum is σ = 508347789638400. Its totient is φ = 95688995673600.

The previous prime is 222211112202083. The next prime is 222211112202113. The reversal of 222211112202112 is 211202211112222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222211112202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4153141464 + ... + 4153194967.

It is an arithmetic number, because the mean of its divisors is an integer number (7942934213100).

Almost surely, 2222211112202112 is an apocalyptic number.

222211112202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222211112202112 is an abundant number, since it is smaller than the sum of its proper divisors (286136677436288).

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

222211112202112 is a wasteful number, since it uses less digits than its factorization.

222211112202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306336475 (or 8306336463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 222211112202112 its reverse (211202211112222), we get a palindrome (433413323314334).

The spelling of 222211112202112 in words is "two hundred twenty-two trillion, two hundred eleven billion, one hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 6688 13376 26752 8306336431 16612672862 33225345724 66450691448 91369700741 132901382896 157820392189 182739401482 265802765792 315640784378 365478802964 531605531584 631281568756 730957605928 1063211063168 1262563137512 1461915211856 1736024314079 2525126275024 2923830423712 3472048628158 5050252550048 5847660847424 6944097256316 10100505100096 11695321694848 13888194512632 20201010200192 27776389025264 55552778050528 111105556101056 222211112202112