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22053351342 = 231121571631187
BaseRepresentation
bin10100100010011110…
…110110111110101110
32002220221021022202110
4110202132312332232
5330131124220332
614044155504450
71410334251651
oct244236667656
962827238673
1022053351342
1193975a6300
124335758126
132105c11929
1410d2cab898
1589116b4cc
hex5227b6fae

22053351342 has 96 divisors (see below), whose sum is σ = 49130395776. Its totient is φ = 6593970240.

The previous prime is 22053351329. The next prime is 22053351367. The reversal of 22053351342 is 24315335022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578473 + ... + 18579659.

It is an arithmetic number, because the mean of its divisors is an integer number (511774956).

Almost surely, 222053351342 is an apocalyptic number.

22053351342 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 22053351342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24565197888).

22053351342 is an abundant number, since it is smaller than the sum of its proper divisors (27077044434).

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

22053351342 is a wasteful number, since it uses less digits than its factorization.

22053351342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 22053351342 its reverse (24315335022), we get a palindrome (46368686364).

The spelling of 22053351342 in words is "twenty-two billion, fifty-three million, three hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 157 163 242 314 326 363 471 489 726 942 978 1187 1727 1793 2374 3454 3561 3586 5181 5379 7122 10362 10758 13057 18997 19723 25591 26114 37994 39171 39446 51182 56991 59169 76773 78342 113982 118338 143627 153546 186359 193481 281501 287254 372718 386962 430881 559077 563002 580443 844503 861762 1118154 1160886 1689006 2049949 2128291 3096511 4099898 4256582 6149847 6193022 6384873 9289533 12299694 12769746 18579066 22549439 23411201 30376517 45098878 46822402 60753034 67648317 70233603 91129551 135296634 140467206 182259102 334141687 668283374 1002425061 2004850122 3675558557 7351117114 11026675671 22053351342