Search a number
-
+
122232324402 = 234292693112
BaseRepresentation
bin111000111010110011…
…1010100000100110010
3102200111120200102220000
41301311213110010302
54000312433340102
6132052554530430
711555013420546
oct1616547240462
9380446612800
10122232324402
1147924a62521
121b833436a16
13b6ac825996
145cb79d9a26
1532a5e5a01c
hex1c759d4132

122232324402 has 120 divisors (see below), whose sum is σ = 285306129900. Its totient is φ = 39066874560.

The previous prime is 122232324397. The next prime is 122232324407. The reversal of 122232324402 is 204423232221.

122232324402 is a `hidden beast` number, since 1 + 2 + 2 + 23 + 232 + 4 + 402 = 666.

It is an interprime number because it is at equal distance from previous prime (122232324397) and next prime (122232324407).

It can be written as a sum of positive squares in 2 ways, for example, as 114703465041 + 7528859361 = 338679^2 + 86769^2 .

It is a super-2 number, since 2×1222323244022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122232324407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 393029827 + ... + 393030137.

Almost surely, 2122232324402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232324402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142653064950).

122232324402 is an abundant number, since it is smaller than the sum of its proper divisors (163073805498).

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

122232324402 is an equidigital number, since it uses as much as digits as its factorization.

122232324402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 122232324402 its reverse (204423232221), we get a palindrome (326655556623).

The spelling of 122232324402 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 269 311 522 538 622 783 807 933 1566 1614 1866 2349 2421 2799 4698 4842 5598 7263 7801 8397 9019 14526 15602 16794 18038 21789 23403 25191 27057 43578 46806 50382 54114 70209 81171 83659 96721 140418 162342 167318 193442 210627 243513 250977 290163 421254 487026 501954 580326 631881 730539 752931 870489 1263762 1461078 1505862 1740978 2258793 2426111 2611467 2804909 4517586 4852222 5222934 5609818 6776379 7278333 7834401 8414727 13552758 14556666 15668802 16829454 21834999 25244181 26017949 43669998 50488362 52035898 65504997 75732543 78053847 131009994 151465086 156107694 196514991 227197629 234161541 393029982 454395258 468323082 702484623 754520521 1404969246 1509041042 2107453869 2263561563 4214907738 4527123126 6790684689 13581369378 20372054067 40744108134 61116162201 122232324402