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2250864 = 2432721129
BaseRepresentation
bin1000100101100001110000
311020100121100
420211201300
51034011424
6120124400
725063200
oct10454160
94210540
102250864
1112a8120
12906700
1360a695
14428400
152e6dc9
hex225870

2250864 has 180 divisors, whose sum is σ = 8269560. Its totient is φ = 564480.

The previous prime is 2250799. The next prime is 2250869. The reversal of 2250864 is 4680522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77602 + ... + 77630.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

22250864 is an apocalyptic number.

2250864 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 2250864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

2250864 is an abundant number, since it is smaller than the sum of its proper divisors (6018696).

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

2250864 is a wasteful number, since it uses less digits than its factorization.

2250864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

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

The square root of 2250864 is about 1500.2879723573. The cubic root of 2250864 is about 131.0538403089.

The spelling of 2250864 in words is "two million, two hundred fifty thousand, eight hundred sixty-four".