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22122210211220 = 2257235363948113
BaseRepresentation
bin1010000011110101110100…
…11110110011010110010100
32220022212021212101022221002
411001322322132303112110
510344422241303224340
6115014445244042432
74442163664130600
oct501727236632624
986285255338832
1022122210211220
117059a81a37389
122593523533418
13c461668ca852
14566a137cc500
152856b1da1715
hex141eba7b3594

22122210211220 has 72 divisors (see below), whose sum is σ = 54194491860264. Its totient is φ = 7563271102464.

The previous prime is 22122210211219. The next prime is 22122210211229. The reversal of 22122210211220 is 2211201222122.

It can be written as a sum of positive squares in 4 ways, for example, as 855613900036 + 21266596311184 = 924994^2 + 4611572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22122210211192 and 22122210211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122210211229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31628117 + ... + 32319996.

It is an arithmetic number, because the mean of its divisors is an integer number (752701275837).

Almost surely, 222122210211220 is an apocalyptic number.

22122210211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122210211220 is an abundant number, since it is smaller than the sum of its proper divisors (32072281649044).

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

22122210211220 is a wasteful number, since it uses less digits than its factorization.

22122210211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63948489 (or 63948480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22122210211220 its reverse (2211201222122), we get a palindrome (24333411433342).

The spelling of 22122210211220 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 353 490 706 980 1412 1765 2471 3530 4942 7060 9884 12355 17297 24710 34594 49420 69188 86485 172970 345940 63948113 127896226 255792452 319740565 447636791 639481130 895273582 1278962260 1790547164 2238183955 3133457537 4476367910 6266915074 8952735820 12533830148 15667287685 22573683889 31334575370 45147367778 62669150740 90294735556 112868419445 158015787223 225736838890 316031574446 451473677780 632063148892 790078936115 1106110510561 1580157872230 2212221021122 3160315744460 4424442042244 5530552552805 11061105105610 22122210211220