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2245000 = 2354449
BaseRepresentation
bin1000100100000110001000
311020001120011
420210012020
51033320000
6120041304
725040122
oct10440610
94201504
102245000
1112a377a
12903234
13607b04
14426212
152e52ba
hex224188

2245000 has 40 divisors (see below), whose sum is σ = 5271750. Its totient is φ = 896000.

The previous prime is 2244973. The next prime is 2245013. The reversal of 2245000 is 5422.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 60516 + 2184484 = 246^2 + 1478^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4776 + ... + 5224.

22245000 is an apocalyptic number.

2245000 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 2245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635875).

2245000 is an abundant number, since it is smaller than the sum of its proper divisors (3026750).

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

2245000 is an equidigital number, since it uses as much as digits as its factorization.

2245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2245000 is about 1498.3324063772. The cubic root of 2245000 is about 130.9399332258.

It can be divided in two parts, 2 and 245000, that multiplied together give a square (490000 = 7002).

The spelling of 2245000 in words is "two million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 449 500 625 898 1000 1250 1796 2245 2500 3592 4490 5000 8980 11225 17960 22450 44900 56125 89800 112250 224500 280625 449000 561250 1122500 2245000