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22222221111112 = 23114312969197341
BaseRepresentation
bin1010000110110000000111…
…00110000110111101001000
32220200102102210112110000111
411003120003212012331020
510403042102101023422
6115132425240444104
74452334232554321
oct503300346067510
986612383473014
1022222221111112
117098433537760
1225aa994a79634
13c52714755619
1456b7c0089448
152880b7040a77
hex143603986f48

22222221111112 has 64 divisors (see below), whose sum is σ = 45575582342400. Its totient is φ = 10074128064000.

The previous prime is 22222221111049. The next prime is 22222221111121. The reversal of 22222221111112 is 21111112222222.

It is a super-2 number, since 2×222222211111122 (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a pancake number, because a pancake can be divided into 22222221111112 parts by 6666666 straight cuts.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112509562 + ... + 112706902.

It is an arithmetic number, because the mean of its divisors is an integer number (712118474100).

Almost surely, 222222221111112 is an apocalyptic number.

22222221111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22222221111112 is an abundant number, since it is smaller than the sum of its proper divisors (23353361231288).

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

22222221111112 is a wasteful number, since it uses less digits than its factorization.

22222221111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200758 (or 200754 counting only the distinct ones).

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

Adding to 22222221111112 its reverse (21111112222222), we get a palindrome (43333333333334).

The spelling of 22222221111112 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 431 862 1724 2969 3448 4741 5938 9482 11876 18964 23752 32659 37928 65318 130636 197341 261272 394682 789364 1279639 1578728 2170751 2559278 4341502 5118556 8683004 10237112 14076029 17366008 28152058 56304116 85053971 112608232 170107942 340215884 585905429 680431768 935593681 1171810858 1871187362 2343621716 3742374724 4687243432 6444959719 7484749448 12889919438 25779838876 51559677752 252525239899 505050479798 1010100959596 2020201919192 2777777638889 5555555277778 11111110555556 22222221111112