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2245904 = 241723359
BaseRepresentation
bin1000100100010100010000
311020002210122
420210110100
51033332104
6120045412
725042553
oct10442420
94202718
102245904
1112a4421
12903868
1360834b
1442669a
152e56be
hex224510

2245904 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 1008128.

The previous prime is 2245889. The next prime is 2245931. The reversal of 2245904 is 4095422.

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, 6077 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22245904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2245904 is an abundant number, since it is smaller than the sum of its proper divisors (2575216).

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

2245904 is a wasteful number, since it uses less digits than its factorization.

2245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2245904 is about 1498.6340447221. The cubic root of 2245904 is about 130.9575061754.

The spelling of 2245904 in words is "two million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 359 368 391 718 782 1436 1564 2872 3128 5744 6103 6256 8257 12206 16514 24412 33028 48824 66056 97648 132112 140369 280738 561476 1122952 2245904