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2250820 = 2251113787
BaseRepresentation
bin1000100101100001000100
311020100112201
420211201010
51034011240
6120124244
725063105
oct10454104
94210481
102250820
1112a8090
12906684
1360a660
144283ac
152e6d9a
hex225844

2250820 has 48 divisors (see below), whose sum is σ = 5560128. Its totient is φ = 754560.

The previous prime is 2250799. The next prime is 2250869. The reversal of 2250820 is 280522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2467 + ... + 3253.

It is an arithmetic number, because the mean of its divisors is an integer number (115836).

22250820 is an apocalyptic number.

2250820 is a gapful number since it is divisible by the number (20) 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 2250820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780064).

2250820 is an abundant number, since it is smaller than the sum of its proper divisors (3309308).

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

2250820 is a wasteful number, since it uses less digits than its factorization.

2250820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2250820 is about 1500.2733084342. The cubic root of 2250820 is about 131.0529863544.

The spelling of 2250820 in words is "two million, two hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 787 1430 1574 2860 3148 3935 7870 8657 10231 15740 17314 20462 34628 40924 43285 51155 86570 102310 112541 173140 204620 225082 450164 562705 1125410 2250820