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20154224442 = 23114347612477
BaseRepresentation
bin10010110001010010…
…010000111100111010
31221000120201200102010
4102301102100330322
5312233440140232
613131514550350
71312304036562
oct226122207472
957016650363
1020154224442
118602597140
123aa57383b6
131b926255c1
14d9298dda2
157ce5820cc
hex4b1490f3a

20154224442 has 128 divisors (see below), whose sum is σ = 46725009408. Its totient is φ = 5740358400.

The previous prime is 20154224417. The next prime is 20154224471. The reversal of 20154224442 is 24442245102.

It is a super-2 number, since 2×201542244422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8135308 + ... + 8137784.

It is an arithmetic number, because the mean of its divisors is an integer number (365039136).

Almost surely, 220154224442 is an apocalyptic number.

20154224442 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 20154224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362504704).

20154224442 is an abundant number, since it is smaller than the sum of its proper divisors (26570784966).

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

20154224442 is a wasteful number, since it uses less digits than its factorization.

20154224442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644.

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 20154224442 its reverse (24442245102), we get a palindrome (44596469544).

The spelling of 20154224442 in words is "twenty billion, one hundred fifty-four million, two hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 47 61 66 86 94 122 129 141 183 258 282 366 473 517 671 946 1034 1342 1419 1551 2013 2021 2477 2623 2838 2867 3102 4026 4042 4954 5246 5734 6063 7431 7869 8601 12126 14862 15738 17202 22231 27247 28853 31537 44462 54494 57706 63074 66693 81741 86559 94611 106511 116419 123281 133386 151097 163482 173118 189222 213022 232838 246562 302194 319533 349257 369843 453291 639066 698514 739686 906582 1171621 1280609 1356091 1662067 2343242 2561218 2712182 3324134 3514863 3841827 4068273 4986201 5006017 6497171 7029726 7101559 7683654 8136546 9972402 10012034 12994342 14203118 15018051 19491513 21304677 30036102 38983026 42609354 55066187 71468881 78117149 110132374 142937762 156234298 165198561 214406643 234351447 305367037 330397122 428813286 468702894 610734074 916101111 1832202222 3359037407 6718074814 10077112221 20154224442