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22275840 = 28355801
BaseRepresentation
bin101010011111…
…0011100000000
31112220201201010
41110332130000
521200311330
62113240520
7360225066
oct124763400
945821633
1022275840
1111635194
127563140
1347cc292
142d5c036
151e503b0
hex153e700

22275840 has 72 divisors (see below), whose sum is σ = 71155728. Its totient is φ = 5939200.

The previous prime is 22275839. The next prime is 22275881. The reversal of 22275840 is 4857222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22275798 and 22275807.

It is a congruent number.

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, 940 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (988274).

Almost surely, 222275840 is an apocalyptic number.

22275840 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 22275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35577864).

22275840 is an abundant number, since it is smaller than the sum of its proper divisors (48879888).

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

22275840 is an equidigital number, since it uses as much as digits as its factorization.

22275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22275840 is about 4719.7288057684. The cubic root of 22275840 is about 281.3701550800.

The spelling of 22275840 in words is "twenty-two million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5801 11602 17403 23204 29005 34806 46408 58010 69612 87015 92816 116020 139224 174030 185632 232040 278448 348060 371264 464080 556896 696120 742528 928160 1113792 1392240 1485056 1856320 2227584 2784480 3712640 4455168 5568960 7425280 11137920 22275840