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2245680 = 243253119
BaseRepresentation
bin1000100100010000110000
311020002111100
420210100300
51033330210
6120044400
725042113
oct10442060
94202440
102245680
1112a4238
12903700
13608208
1442657a
152e55c0
hex224430

2245680 has 60 divisors (see below), whose sum is σ = 7544160. Its totient is φ = 598656.

The previous prime is 2245679. The next prime is 2245681. The reversal of 2245680 is 865422.

It is an interprime number because it is at equal distance from previous prime (2245679) and next prime (2245681).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (2245681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

22245680 is an apocalyptic number.

2245680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245680 is an abundant number, since it is smaller than the sum of its proper divisors (5298480).

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

2245680 is a wasteful number, since it uses less digits than its factorization.

2245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2245680 is about 1498.5593081357. The cubic root of 2245680 is about 130.9531522557.

The spelling of 2245680 in words is "two million, two hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3119 6238 9357 12476 15595 18714 24952 28071 31190 37428 46785 49904 56142 62380 74856 93570 112284 124760 140355 149712 187140 224568 249520 280710 374280 449136 561420 748560 1122840 2245680