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22222213112 = 231110112719687
BaseRepresentation
bin10100101100100011…
…000000111111111000
32010100201000101120002
4110230203000333320
5331002341304422
614113031052132
71414454460221
oct245443007770
963321011502
1022222213112
119473950690
124382211048
132131bb5b38
14110b4a6248
158a0dc4692
hex52c8c0ff8

22222213112 has 64 divisors (see below), whose sum is σ = 46268375040. Its totient is φ = 9921744000.

The previous prime is 22222213103. The next prime is 22222213133. The reversal of 22222213112 is 21131222222.

It is a super-3 number, since 3×222222131123 (a number of 32 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1118933 + ... + 1138619.

It is an arithmetic number, because the mean of its divisors is an integer number (722943360).

Almost surely, 222222213112 is an apocalyptic number.

22222213112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23134187520).

22222213112 is an abundant number, since it is smaller than the sum of its proper divisors (24046161928).

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

22222213112 is a wasteful number, since it uses less digits than its factorization.

22222213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932 (or 19928 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

Adding to 22222213112 its reverse (21131222222), we get a palindrome (43353435334).

The spelling of 22222213112 in words is "twenty-two billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 127 202 254 404 508 808 1016 1111 1397 2222 2794 4444 5588 8888 11176 12827 19687 25654 39374 51308 78748 102616 141097 157496 216557 282194 433114 564388 866228 1128776 1732456 1988387 2500249 3976774 5000498 7953548 10000996 15907096 20001992 21872257 27502739 43744514 55005478 87489028 110010956 174978056 220021912 252525149 505050298 1010100596 2020201192 2777776639 5555553278 11111106556 22222213112