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22261328 = 242947977
BaseRepresentation
bin101010011101…
…0111001010000
31112212222210122
41110322321100
521144330303
62113045412
7360134555
oct124727120
945788718
1022261328
11116252a1
127556868
1347c57ab
142d56a2c
151e4ae38
hex153ae50

22261328 has 20 divisors (see below), whose sum is σ = 44619540. Its totient is φ = 10746624.

The previous prime is 22261321. The next prime is 22261361. The reversal of 22261328 is 82316222.

It can be written as a sum of positive squares in 2 ways, for example, as 18905104 + 3356224 = 4348^2 + 1832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22261297 and 22261306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23525 + ... + 24452.

It is an arithmetic number, because the mean of its divisors is an integer number (2230977).

Almost surely, 222261328 is an apocalyptic number.

It is an amenable number.

22261328 is an abundant number, since it is smaller than the sum of its proper divisors (22358212).

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

22261328 is a wasteful number, since it uses less digits than its factorization.

22261328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48014 (or 48008 counting only the distinct ones).

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

The square root of 22261328 is about 4718.1911788311. The cubic root of 22261328 is about 281.3090405764.

The spelling of 22261328 in words is "twenty-two million, two hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 47977 95954 191908 383816 767632 1391333 2782666 5565332 11130664 22261328