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222122202112 = 21010912011657
BaseRepresentation
bin1100111011011110000…
…0111101010000000000
3210020100002002222202101
43032313200331100000
512114401240431422
6250012545400144
722022252365036
oct3166740752000
9706302088671
10222122202112
1186224213068
1237070339054
1317c3b5894b5
14aa72192556
155ba0690c27
hex33b783d400

222122202112 has 88 divisors (see below), whose sum is σ = 448744895720. Its totient is φ = 109884211200.

The previous prime is 222122202097. The next prime is 222122202121. The reversal of 222122202112 is 211202221222.

It can be written as a sum of positive squares in 4 ways, for example, as 183223296 + 221938978816 = 13536^2 + 471104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222122202112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134049988 + ... + 134051644.

It is an arithmetic number, because the mean of its divisors is an integer number (5099373815).

Almost surely, 2222122202112 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 222122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224372447860).

222122202112 is an abundant number, since it is smaller than the sum of its proper divisors (226622693608).

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

222122202112 is a wasteful number, since it uses less digits than its factorization.

222122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 222122202112 its reverse (211202221222), we get a palindrome (433324423334).

The spelling of 222122202112 in words is "two hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1024 1201 1657 1744 2402 3314 3488 4804 6628 6976 9608 13256 13952 19216 26512 27904 38432 53024 55808 76864 106048 111616 130909 153728 180613 212096 261818 307456 361226 424192 523636 614912 722452 848384 1047272 1229824 1444904 1696768 1990057 2094544 2889808 3980114 4189088 5779616 7960228 8378176 11559232 15920456 16756352 23118464 31840912 33512704 46236928 63681824 67025408 92473856 127363648 134050816 184947712 216916213 254727296 433832426 509454592 867664852 1018909184 1735329704 2037818368 3470659408 6941318816 13882637632 27765275264 55530550528 111061101056 222122202112