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2248660 = 225293877
BaseRepresentation
bin1000100100111111010100
311020020120201
420210333110
51033424120
6120110244
725053601
oct10447724
94206521
102248660
1112a64a7
12905384
1360968b
144276a8
152e640a
hex224fd4

2248660 has 24 divisors (see below), whose sum is σ = 4886280. Its totient is φ = 868224.

The previous prime is 2248651. The next prime is 2248661. The reversal of 2248660 is 668422.

2248660 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 2155024 = 306^2 + 1468^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1359 + ... + 2518.

It is an arithmetic number, because the mean of its divisors is an integer number (203595).

22248660 is an apocalyptic number.

2248660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248660 is an abundant number, since it is smaller than the sum of its proper divisors (2637620).

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

2248660 is a wasteful number, since it uses less digits than its factorization.

2248660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2248660 is about 1499.5532668098. The cubic root of 2248660 is about 131.0110512597.

The spelling of 2248660 in words is "two million, two hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3877 7754 15508 19385 38770 77540 112433 224866 449732 562165 1124330 2248660