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22053161262 = 231119412571669
BaseRepresentation
bin10100100010011110…
…001000100100101110
32002220220220200000110
4110202132020210232
5330131102130022
614044151440450
71410332530536
oct244236104456
962826820013
1022053161262
119397486510
124335686126
132105b76262
1410d2c5c4c6
1589113000c
hex52278892e

22053161262 has 128 divisors (see below), whose sum is σ = 52116825600. Its totient is φ = 6148915200.

The previous prime is 22053161261. The next prime is 22053161293. The reversal of 22053161262 is 26216135022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053161261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13212564 + ... + 13214232.

It is an arithmetic number, because the mean of its divisors is an integer number (407162700).

Almost surely, 222053161262 is an apocalyptic number.

22053161262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22053161262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26058412800).

22053161262 is an abundant number, since it is smaller than the sum of its proper divisors (30063664338).

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

22053161262 is a wasteful number, since it uses less digits than its factorization.

22053161262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 22053161262 its reverse (26216135022), we get a palindrome (48269296284).

It can be divided in two parts, 22053 and 161262, that added together give a triangular number (183315 = T605).

The spelling of 22053161262 in words is "twenty-two billion, fifty-three million, one hundred sixty-one thousand, two hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 246 257 418 451 514 627 771 779 902 1254 1353 1542 1558 1669 2337 2706 2827 3338 4674 4883 5007 5654 8481 8569 9766 10014 10537 14649 16962 17138 18359 21074 25707 29298 31611 31711 36718 51414 53713 55077 63222 63422 68429 95133 107426 110154 115907 136858 161139 190266 200203 205287 231814 322278 347721 348821 400406 410574 428933 600609 695442 697642 752719 857866 1046463 1201218 1286799 1300151 1505438 2092926 2202233 2258157 2573598 2600302 3900453 4404466 4516314 4718263 6606699 7800906 8149727 9436526 13213398 14154789 14301661 16299454 17586253 24449181 28309578 28603322 35172506 42904983 48898362 52758759 85809966 89646997 105517518 179293994 193448783 268940991 334138807 386897566 537881982 580346349 668277614 1002416421 1160692698 2004832842 3675526877 7351053754 11026580631 22053161262