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22220202112 = 272343317431
BaseRepresentation
bin10100101100011011…
…010110000010000000
32010100120020012222121
4110230123112002000
5331001332431422
614112520014024
71414431413233
oct245433260200
963316205877
1022220202112
1194727a77a9
124381601314
1321316606b4
14110b10141a
158a0b288c7
hex52c6d6080

22220202112 has 64 divisors (see below), whose sum is σ = 46300786560. Its totient is φ = 10601902080.

The previous prime is 22220202097. The next prime is 22220202113. The reversal of 22220202112 is 21120202222.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (22220202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266037 + ... + 1283467.

It is an arithmetic number, because the mean of its divisors is an integer number (723449790).

Almost surely, 222220202112 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 22220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23150393280).

22220202112 is an abundant number, since it is smaller than the sum of its proper divisors (24080584448).

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

22220202112 is a wasteful number, since it uses less digits than its factorization.

22220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17901 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22220202112 its reverse (21120202222), we get a palindrome (43340404334).

The spelling of 22220202112 in words is "twenty-two billion, two hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 433 736 866 1472 1732 2944 3464 6928 9959 13856 17431 19918 27712 34862 39836 55424 69724 79672 139448 159344 278896 318688 400913 557792 637376 801826 1115584 1274752 1603652 2231168 3207304 6414608 7547623 12829216 15095246 25658432 30190492 51316864 60380984 120761968 173595329 241523936 347190658 483047872 694381316 966095744 1388762632 2777525264 5555050528 11110101056 22220202112