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22140434440 = 2353714959753
BaseRepresentation
bin10100100111101011…
…000011100000001000
32010011000010121022101
4110213223003200020
5330320422400230
614100550203144
71412442405355
oct244753034010
963130117271
1022140434440
119431775103
12435a9534b4
13211ac81ca7
14110069962c
15898b1daca
hex527ac3808

22140434440 has 32 divisors (see below), whose sum is σ = 51162358680. Its totient is φ = 8616817152.

The previous prime is 22140434411. The next prime is 22140434441. The reversal of 22140434440 is 4443404122.

It can be written as a sum of positive squares in 4 ways, for example, as 21534388516 + 606045924 = 146746^2 + 24618^2 .

It is a super-2 number, since 2×221404344402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22140434399 and 22140434408.

It is not an unprimeable number, because it can be changed into a prime (22140434441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7478397 + ... + 7481356.

Almost surely, 222140434440 is an apocalyptic number.

22140434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22140434440 is an abundant number, since it is smaller than the sum of its proper divisors (29021924240).

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

22140434440 is a wasteful number, since it uses less digits than its factorization.

22140434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959801 (or 14959797 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22140434440 its reverse (4443404122), we get a palindrome (26583838562).

The spelling of 22140434440 in words is "twenty-two billion, one hundred forty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 14959753 29919506 59839012 74798765 119678024 149597530 299195060 553510861 598390120 1107021722 2214043444 2767554305 4428086888 5535108610 11070217220 22140434440