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2245872 = 24371659
BaseRepresentation
bin1000100100010011110000
311020002202110
420210103300
51033331442
6120045320
725042506
oct10442360
94202673
102245872
1112a43a2
12903840
13608325
14426676
152e569c
hex2244f0

2245872 has 40 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 736960.

The previous prime is 2245871. The next prime is 2245889. The reversal of 2245872 is 2785422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3079 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

22245872 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 2245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2245872 is an abundant number, since it is smaller than the sum of its proper divisors (3646608).

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

2245872 is a wasteful number, since it uses less digits than its factorization.

2245872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2245872 is about 1498.6233682950. The cubic root of 2245872 is about 130.9568842046.

The spelling of 2245872 in words is "two million, two hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 659 852 1136 1318 1704 1977 2636 3408 3954 5272 7908 10544 15816 31632 46789 93578 140367 187156 280734 374312 561468 748624 1122936 2245872