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22168340 = 22517113577
BaseRepresentation
bin101010010010…
…0001100010100
31112201021020122
41110210030110
521133341330
62111051112
7356266505
oct124441424
945637218
1022168340
1111571447
127510a98
13479237c
142d30bac
151e2d5e5
hex1524314

22168340 has 48 divisors (see below), whose sum is σ = 49814352. Its totient is φ = 8257536.

The previous prime is 22168327. The next prime is 22168351. The reversal of 22168340 is 4386122.

It can be written as a sum of positive squares in 8 ways, for example, as 228484 + 21939856 = 478^2 + 4684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38132 + ... + 38708.

It is an arithmetic number, because the mean of its divisors is an integer number (1037799).

Almost surely, 222168340 is an apocalyptic number.

22168340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24907176).

22168340 is an abundant number, since it is smaller than the sum of its proper divisors (27646012).

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

22168340 is a wasteful number, since it uses less digits than its factorization.

22168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 22168340 is about 4708.3266666619. The cubic root of 22168340 is about 280.9168077330.

The spelling of 22168340 in words is "twenty-two million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 577 1130 1154 1921 2260 2308 2885 3842 5770 7684 9605 9809 11540 19210 19618 38420 39236 49045 65201 98090 130402 196180 260804 326005 652010 1108417 1304020 2216834 4433668 5542085 11084170 22168340