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22341312242244 = 223317911399101383
BaseRepresentation
bin1010001010001101111011…
…11110101110001001000100
32221002210211110111201211000
411011012331332232021010
510412020001413222434
6115303242425013300
74464051354512262
oct505067576561104
987083743451730
1022341312242244
117133996362186
122609a90324230
13c60a1355c558
1457347a807432
1528b237316b99
hex1451bdfae244

22341312242244 has 96 divisors (see below), whose sum is σ = 58251191040000. Its totient is φ = 7404777446688.

The previous prime is 22341312242231. The next prime is 22341312242257. The reversal of 22341312242244 is 44224221314322.

22341312242244 is a `hidden beast` number, since 2 + 2 + 3 + 413 + 12 + 2 + 4 + 224 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22341312242231) and next prime (22341312242257).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 22341312242199 and 22341312242208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220314777 + ... + 220416159.

It is an arithmetic number, because the mean of its divisors is an integer number (606783240000).

Almost surely, 222341312242244 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 22341312242244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125595520000).

22341312242244 is an abundant number, since it is smaller than the sum of its proper divisors (35909878797756).

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

22341312242244 is a wasteful number, since it uses less digits than its factorization.

22341312242244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112974 (or 112966 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 22341312242244 its reverse (44224221314322), we get a palindrome (66565533556566).

The spelling of 22341312242244 in words is "twenty-two trillion, three hundred forty-one billion, three hundred twelve million, two hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 3222 4833 6444 9666 11399 19332 22798 34197 45596 68394 101383 102591 136788 202766 205182 304149 307773 405532 410364 608298 615546 912447 1216596 1231092 1824894 2040421 2737341 3649788 4080842 5474682 6121263 8161684 10949364 12242526 18147557 18363789 24485052 36295114 36727578 54442671 55091367 72590228 73455156 108885342 110182734 163328013 217770684 220365468 326656026 489984039 653312052 979968078 1155664817 1959936156 2311329634 3466994451 4622659268 6933988902 10400983353 13867977804 20801966706 31202950059 41603933412 62405900118 124811800236 206864002243 413728004486 620592006729 827456008972 1241184013458 1861776020187 2482368026916 3723552040374 5585328060561 7447104080748 11170656121122 22341312242244