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2250496 = 2859149
BaseRepresentation
bin1000100101011100000000
311020100002201
420211130000
51034003441
6120122544
725062133
oct10453400
94210081
102250496
1112a7916
12906454
1360a471
1442821a
152e6c31
hex225700

2250496 has 36 divisors (see below), whose sum is σ = 4599000. Its totient is φ = 1098752.

The previous prime is 2250467. The next prime is 2250503. The reversal of 2250496 is 6940522.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 15030 + ... + 15178.

It is an arithmetic number, because the mean of its divisors is an integer number (127750).

22250496 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 2250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299500).

2250496 is an abundant number, since it is smaller than the sum of its proper divisors (2348504).

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

2250496 is an equidigital number, since it uses as much as digits as its factorization.

2250496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2250496 is about 1500.1653242226. The cubic root of 2250496 is about 131.0466978010.

The spelling of 2250496 in words is "two million, two hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 149 236 256 298 472 596 944 1192 1888 2384 3776 4768 7552 8791 9536 15104 17582 19072 35164 38144 70328 140656 281312 562624 1125248 2250496