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2245504 = 2753331
BaseRepresentation
bin1000100100001110000000
311020002020211
420210032000
51033324004
6120043504
725041442
oct10441600
94202224
102245504
1112a4098
12903594
13608101
14426492
152e5504
hex224380

2245504 has 32 divisors (see below), whose sum is σ = 4571640. Its totient is φ = 1098240.

The previous prime is 2245501. The next prime is 2245541. The reversal of 2245504 is 4055422.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6619 + ... + 6949.

22245504 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 2245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285820).

2245504 is an abundant number, since it is smaller than the sum of its proper divisors (2326136).

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

2245504 is an equidigital number, since it uses as much as digits as its factorization.

2245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2245504 is about 1498.5005839171. The cubic root of 2245504 is about 130.9497311157.

The spelling of 2245504 in words is "two million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 331 424 662 848 1324 1696 2648 3392 5296 6784 10592 17543 21184 35086 42368 70172 140344 280688 561376 1122752 2245504