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22244240 = 2451012753
BaseRepresentation
bin101010011011…
…0101110010000
31112212010100202
41110312232100
521143303430
62112434332
7360034004
oct124665620
945763322
1022244240
1111613477
1275489a8
1347baa95
142d50704
151e45d45
hex1536b90

22244240 has 40 divisors (see below), whose sum is σ = 52248888. Its totient is φ = 8806400.

The previous prime is 22244227. The next prime is 22244251. The reversal of 22244240 is 4244222.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 9168784 = 3616^2 + 3028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6704 + ... + 9456.

Almost surely, 222244240 is an apocalyptic number.

22244240 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 22244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124444).

22244240 is an abundant number, since it is smaller than the sum of its proper divisors (30004648).

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

22244240 is a wasteful number, since it uses less digits than its factorization.

22244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 22244240 is about 4716.3799677295. The cubic root of 22244240 is about 281.2370436830.

Adding to 22244240 its reverse (4244222), we get a palindrome (26488462).

The spelling of 22244240 in words is "twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 2753 4040 5506 8080 11012 13765 22024 27530 44048 55060 110120 220240 278053 556106 1112212 1390265 2224424 2780530 4448848 5561060 11122120 22244240