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2248590 = 235174409
BaseRepresentation
bin1000100100111110001110
311020020111010
420210332032
51033423330
6120110050
725053441
oct10447616
94206433
102248590
1112a6443
12905326
13609636
14427658
152e63b0
hex224f8e

2248590 has 32 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 564224.

The previous prime is 2248583. The next prime is 2248591. The reversal of 2248590 is 958422.

2248590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 25 + 215 + 49 + 83 + 59 + 9 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248591) 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 15 ways as a sum of consecutive naturals, for example, 1695 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

22248590 is an apocalyptic number.

2248590 is an abundant number, since it is smaller than the sum of its proper divisors (3466770).

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

2248590 is a wasteful number, since it uses less digits than its factorization.

2248590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2248590 is about 1499.5299263436. The cubic root of 2248590 is about 131.0096918028.

The spelling of 2248590 in words is "two million, two hundred forty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 4409 8818 13227 22045 26454 44090 66135 74953 132270 149906 224859 374765 449718 749530 1124295 2248590