Search a number
-
+
22153423131 = 347612292797
BaseRepresentation
bin10100101000011100…
…100110100100011011
32010011220120111110000
4110220130212210123
5330332234020011
614102132424043
71412660663310
oct245034464433
963156514400
1022153423131
119439036764
124363178023
13212087bcc8
1411022bad07
15899d37356
hex52872691b

22153423131 has 80 divisors (see below), whose sum is σ = 38622696640. Its totient is φ = 12392766720.

The previous prime is 22153423111. The next prime is 22153423139. The reversal of 22153423131 is 13132435122.

22153423131 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 342 + 313 + 1 = 666.

It is not a de Polignac number, because 22153423131 - 213 = 22153414939 is a prime.

It is a super-2 number, since 2×221534231312 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22153423095 and 22153423104.

It is not an unprimeable number, because it can be changed into a prime (22153423139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7919025 + ... + 7921821.

It is an arithmetic number, because the mean of its divisors is an integer number (482783708).

Almost surely, 222153423131 is an apocalyptic number.

22153423131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22153423131 is a deficient number, since it is larger than the sum of its proper divisors (16469273509).

22153423131 is a wasteful number, since it uses less digits than its factorization.

22153423131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3097 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 22153423131 its reverse (13132435122), we get a palindrome (35285858253).

The spelling of 22153423131 in words is "twenty-two billion, one hundred fifty-three million, four hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 229 427 549 567 687 1281 1603 1647 2061 2797 3843 4809 4941 6183 8391 11529 13969 14427 18549 19579 25173 34587 41907 43281 58737 75519 97783 125721 129843 170617 176211 226557 293349 377163 511851 528633 640513 880047 1131489 1194319 1535553 1585899 1921539 2640141 3582957 4483591 4606659 5764617 7920423 10748871 13450773 13819977 17293851 32246613 39071293 40352319 51881553 96739839 117213879 121056957 273499051 351641637 363170871 820497153 1054924911 2461491459 3164774733 7384474377 22153423131