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22153553343 = 3231197940123
BaseRepresentation
bin10100101000011101…
…000110010110111111
32010011220211010001200
4110220131012112333
5330332302201333
614102135310543
71412662045035
oct245035062677
963156733050
1022153553343
119439115579
12436321b453
1321208c635c
141102312555
15899d60c13
hex5287465bf

22153553343 has 24 divisors (see below), whose sum is σ = 33049336320. Its totient is φ = 14285036880.

The previous prime is 22153553341. The next prime is 22153553347. The reversal of 22153553343 is 34335535122.

22153553343 is a `hidden beast` number, since 2 + 21 + 53 + 553 + 34 + 3 = 666.

It is not a de Polignac number, because 22153553343 - 21 = 22153553341 is a prime.

It is a super-2 number, since 2×221535533432 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22153553298 and 22153553307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22153553341) 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 23 ways as a sum of consecutive naturals, for example, 532080 + ... + 572202.

It is an arithmetic number, because the mean of its divisors is an integer number (1377055680).

Almost surely, 222153553343 is an apocalyptic number.

22153553343 is a deficient number, since it is larger than the sum of its proper divisors (10895782977).

22153553343 is a wasteful number, since it uses less digits than its factorization.

22153553343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42139 (or 42136 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The spelling of 22153553343 in words is "twenty-two billion, one hundred fifty-three million, five hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 31 93 279 1979 5937 17811 40123 61349 120369 184047 361107 552141 1243813 3731439 11194317 79403417 238210251 714630753 2461505927 7384517781 22153553343