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22131423423 = 3323371795381
BaseRepresentation
bin10100100111001000…
…101011100010111111
32010010101011210112000
4110213020223202333
5330311121022143
614100025113343
71412302665234
oct244710534277
963111153460
1022131423423
11942767aa8a
124357928853
132119148625
1410dd3d178b
15897e3dbd3
hex52722b8bf

22131423423 has 64 divisors (see below), whose sum is σ = 35340364800. Its totient is φ = 13652115840.

The previous prime is 22131423409. The next prime is 22131423439. The reversal of 22131423423 is 32432413122.

22131423423 is a `hidden beast` number, since 2 + 2 + 1 + 314 + 2 + 342 + 3 = 666.

It is not a de Polignac number, because 22131423423 - 212 = 22131419327 is a prime.

It is a super-2 number, since 2×221314234232 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131423023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4110193 + ... + 4115573.

It is an arithmetic number, because the mean of its divisors is an integer number (552193200).

Almost surely, 222131423423 is an apocalyptic number.

22131423423 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22131423423 is a deficient number, since it is larger than the sum of its proper divisors (13208941377).

22131423423 is a wasteful number, since it uses less digits than its factorization.

22131423423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5623 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 22131423423 its reverse (32432413122), we get a palindrome (54563836545).

It can be divided in two parts, 2213142 and 3423, that added together give a triangular number (2216565 = T2105).

The spelling of 22131423423 in words is "twenty-two billion, one hundred thirty-one million, four hundred twenty-three thousand, four hundred twenty-three".

Divisors: 1 3 9 23 27 37 69 111 179 207 333 537 621 851 999 1611 2553 4117 4833 5381 6623 7659 12351 16143 19869 22977 37053 48429 59607 111159 123763 145287 152329 178821 199097 371289 456987 597291 963199 1113867 1370961 1791873 2889597 3341601 4112883 4579231 5375619 8668791 13737693 22153577 26006373 35638363 41213079 66460731 106915089 123639237 199382193 320745267 598146579 819682349 962235801 2459047047 7377141141 22131423423