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2243920 = 24574007
BaseRepresentation
bin1000100011110101010000
311020000002011
420203311100
51033301140
6120032304
725034020
oct10436520
94200064
102243920
1112a2988
12902694
13607483
14425a80
152e4cea
hex223d50

2243920 has 40 divisors (see below), whose sum is σ = 5963904. Its totient is φ = 769152.

The previous prime is 2243911. The next prime is 2243959. The reversal of 2243920 is 293422.

2243920 is nontrivially palindromic in base 3.

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

It is a junction number, because it is equal to n+sod(n) for n = 2243891 and 2243900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1444 + ... + 2563.

22243920 is an apocalyptic number.

2243920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243920 is an abundant number, since it is smaller than the sum of its proper divisors (3719984).

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

2243920 is a wasteful number, since it uses less digits than its factorization.

2243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2243920 is about 1497.9719623544. The cubic root of 2243920 is about 130.9189328085.

The spelling of 2243920 in words is "two million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4007 8014 16028 20035 28049 32056 40070 56098 64112 80140 112196 140245 160280 224392 280490 320560 448784 560980 1121960 2243920