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22244400444222 = 23211373036363697
BaseRepresentation
bin1010000111011001011011…
…00101100011001100111110
32220202112200111212022021100
411003230231211203030332
510403423013003203342
6115150534140513530
74454050660023135
oct503545545431476
986675614768240
1022244400444222
1170a688515aa20
1225b314484b8a6
13c5483a7a6a78
1456c8c598c91c
15288964294e4c
hex143b2d96333e

22244400444222 has 48 divisors (see below), whose sum is σ = 53998692005232. Its totient is φ = 6558545583360.

The previous prime is 22244400444169. The next prime is 22244400444239.

22244400444222 is a `hidden beast` number, since 2 + 2 + 24 + 4 + 400 + 4 + 4 + 4 + 222 = 666.

22244400444222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222444004442222 (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1518174523 + ... + 1518189174.

It is an arithmetic number, because the mean of its divisors is an integer number (1124972750109).

Almost surely, 222244400444222 is an apocalyptic number.

22244400444222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22244400444222 is an abundant number, since it is smaller than the sum of its proper divisors (31754291561010).

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

22244400444222 is a wasteful number, since it uses less digits than its factorization.

22244400444222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036363753 (or 3036363750 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 22244400 and 444222, that added together give a palindrome (22688622).

The spelling of 22244400444222 in words is "twenty-two trillion, two hundred forty-four billion, four hundred million, four hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 3036363697 6072727394 9109091091 18218182182 27327273273 33400000667 54654546546 66800001334 100200002001 112345456789 200400004002 224690913578 300600006003 337036370367 601200012006 674072740734 1011109111101 1235800024679 2022218222202 2471600049358 3707400074037 7414800148074 11122200222111 22244400444222