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2225904 = 24379587
BaseRepresentation
bin1000011111011011110000
311012002100220
420133123300
51032212104
6115413040
724630342
oct10373360
94162326
102225904
11129039a
128b4180
135cc205
1441d292
152de7d9
hex21f6f0

2225904 has 40 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 731328.

The previous prime is 2225887. The next prime is 2225959. The reversal of 2225904 is 4095222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 3499 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

22225904 is an apocalyptic number.

2225904 is a gapful number since it is divisible by the number (24) 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 2225904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2225904 is an abundant number, since it is smaller than the sum of its proper divisors (3607056).

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

2225904 is a wasteful number, since it uses less digits than its factorization.

2225904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2225904 is about 1491.9463797335. The cubic root of 2225904 is about 130.5676166380.

The spelling of 2225904 in words is "two million, two hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 587 632 948 1174 1264 1761 1896 2348 3522 3792 4696 7044 9392 14088 28176 46373 92746 139119 185492 278238 370984 556476 741968 1112952 2225904