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22320440142 = 23711137350909
BaseRepresentation
bin10100110010011001…
…101110001101001110
32010121112211211201020
4110302121232031032
5331203013041032
614130500255010
71420056416340
oct246231561516
963545754636
1022320440142
119514341050
1243ab0a1466
132149358640
14111a555290
158a9828b2c
hex53266e34e

22320440142 has 128 divisors (see below), whose sum is σ = 60759659520. Its totient is φ = 5278141440.

The previous prime is 22320440141. The next prime is 22320440161. The reversal of 22320440142 is 24104402322.

It is a super-3 number, since 3×223204401423 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320440141) 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, 412984 + ... + 463892.

It is an arithmetic number, because the mean of its divisors is an integer number (474684840).

Almost surely, 222320440142 is an apocalyptic number.

22320440142 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 22320440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30379829760).

22320440142 is an abundant number, since it is smaller than the sum of its proper divisors (38439219378).

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

22320440142 is a wasteful number, since it uses less digits than its factorization.

22320440142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51018.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22320440142 its reverse (24104402322), we get a palindrome (46424842464).

The spelling of 22320440142 in words is "twenty-two billion, three hundred twenty million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 73 77 78 91 143 146 154 182 219 231 273 286 429 438 462 511 546 803 858 949 1001 1022 1533 1606 1898 2002 2409 2847 3003 3066 4818 5621 5694 6006 6643 10439 11242 13286 16863 19929 20878 31317 33726 39858 50909 62634 73073 101818 146146 152727 219219 305454 356363 438438 559999 661817 712726 1069089 1119998 1323634 1679997 1985451 2138178 3359994 3716357 3919993 3970902 4632719 7279987 7432714 7839986 9265438 11149071 11759979 13898157 14559974 21839961 22298142 23519958 26014499 27796314 40879927 43679922 48312641 50959909 52028998 78043497 81759854 96625282 101919818 122639781 144937923 152879727 156086994 245279562 286159489 289875846 305759454 338188487 531439051 572318978 676376974 858478467 1014565461 1062878102 1594317153 1716956934 2029130922 3188634306 3720073357 7440146714 11160220071 22320440142