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22312143414 = 23311535031409
BaseRepresentation
bin10100110001111010…
…000100101000110110
32010120222020022202000
4110301322010220312
5331143402042124
614130002400130
71416626042541
oct246172045066
963528208660
1022312143414
11950a694650
1243a8360046
132147712132
1411193d5858
158a8c3a6c9
hex531e84a36

22312143414 has 128 divisors (see below), whose sum is σ = 55259366400. Its totient is φ = 6615797760.

The previous prime is 22312143401. The next prime is 22312143433. The reversal of 22312143414 is 41434121322.

22312143414 is a `hidden beast` number, since 2 + 2 + 31 + 214 + 3 + 414 = 666.

It is a super-3 number, since 3×223121434143 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 15834742 + ... + 15836150.

It is an arithmetic number, because the mean of its divisors is an integer number (431713800).

Almost surely, 222312143414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312143414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27629683200).

22312143414 is an abundant number, since it is smaller than the sum of its proper divisors (32947222986).

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

22312143414 is a wasteful number, since it uses less digits than its factorization.

22312143414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22312143414 its reverse (41434121322), we get a palindrome (63746264736).

The spelling of 22312143414 in words is "twenty-two billion, three hundred twelve million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 503 583 594 954 1006 1166 1409 1431 1509 1749 2818 2862 3018 3498 4227 4527 5247 5533 8454 9054 10494 11066 12681 13581 15499 15741 16599 25362 26659 27162 30998 31482 33198 38043 46497 49797 53318 74677 76086 79977 92994 99594 139491 149354 149391 159954 224031 239931 278982 293249 298782 418473 448062 479862 586498 672093 708727 719793 821447 836946 879747 1344186 1417454 1439586 1642894 1759494 2016279 2126181 2464341 2639241 4032558 4252362 4928682 5278482 6378543 7393023 7795997 7917723 12757086 14786046 15591994 15835446 19135629 22179069 23387991 37562531 38271258 44358138 46775982 70163973 75125062 112687593 140327946 210491919 225375186 338062779 413187841 420983838 676125558 826375682 1014188337 1239563523 2028376674 2479127046 3718690569 7437381138 11156071707 22312143414