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2225364 = 223533499
BaseRepresentation
bin1000011111010011010100
311012001121220
420133103110
51032202424
6115410340
724625641
oct10372324
94161556
102225364
11128aa49
128b39b0
135cbbab
1441cdc8
152de579
hex21f4d4

2225364 has 24 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 727584.

The previous prime is 2225339. The next prime is 2225371. The reversal of 2225364 is 4635222.

2225364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 27 + 217 + 217 + 59 + 37 + 65 + 4 .

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, 1114 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

22225364 is an apocalyptic number.

It is an amenable number.

2225364 is an abundant number, since it is smaller than the sum of its proper divisors (3066636).

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

2225364 is a wasteful number, since it uses less digits than its factorization.

2225364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3557 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2225364 is about 1491.7653971051. The cubic root of 2225364 is about 130.5570573004.

The spelling of 2225364 in words is "two million, two hundred twenty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 3499 6998 10497 13996 20994 41988 185447 370894 556341 741788 1112682 2225364