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22320040 = 2351374073
BaseRepresentation
bin101010100100…
…1001110101000
31112222222100011
41111021032220
521203220130
62114221304
7360501001
oct125111650
945888304
1022320040
1111665416
127584834
134816432
142d701a8
151e5d52a
hex15493a8

22320040 has 32 divisors (see below), whose sum is σ = 50599080. Its totient is φ = 8860672.

The previous prime is 22320019. The next prime is 22320059. The reversal of 22320040 is 4002322.

It can be written as a sum of positive squares in 4 ways, for example, as 14243076 + 8076964 = 3774^2 + 2842^2 .

It is a super-3 number, since 3×223200403 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22320040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3444 + ... + 7516.

Almost surely, 222320040 is an apocalyptic number.

22320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320040 is an abundant number, since it is smaller than the sum of its proper divisors (28279040).

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

22320040 is a wasteful number, since it uses less digits than its factorization.

22320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22320040 is about 4724.4089577428. The cubic root of 22320040 is about 281.5561315208.

Adding to 22320040 its reverse (4002322), we get a palindrome (26322362).

The spelling of 22320040 in words is "twenty-two million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 4073 5480 8146 16292 20365 32584 40730 81460 162920 558001 1116002 2232004 2790005 4464008 5580010 11160020 22320040