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2252380 = 225138663
BaseRepresentation
bin1000100101111001011100
311020102200111
420211321130
51034034010
6120135404
725100464
oct10457134
94212614
102252380
1112a9279
12907564
1360b290
14428ba4
152e758a
hex225e5c

2252380 has 24 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 831552.

The previous prime is 2252359. The next prime is 2252387. The reversal of 2252380 is 832522.

2252380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 22 + 215 + 59 + 218 + 35 + 84 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252387) 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, 4072 + ... + 4591.

It is an arithmetic number, because the mean of its divisors is an integer number (212268).

22252380 is an apocalyptic number.

2252380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252380 is an abundant number, since it is smaller than the sum of its proper divisors (2842052).

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

2252380 is a wasteful number, since it uses less digits than its factorization.

2252380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2252380 is about 1500.7931236516. The cubic root of 2252380 is about 131.0832561294.

The spelling of 2252380 in words is "two million, two hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8663 17326 34652 43315 86630 112619 173260 225238 450476 563095 1126190 2252380