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2251962 = 23413901
BaseRepresentation
bin1000100101110010111010
311020102010000
420211302322
51034030322
6120133430
725066326
oct10456272
94212100
102251962
1112a8a29
12907276
1360b02b
14428986
152e73ac
hex225cba

2251962 has 20 divisors (see below), whose sum is σ = 5046426. Its totient is φ = 750600.

The previous prime is 2251957. The next prime is 2251979. The reversal of 2251962 is 2691522.

2251962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1610361 + 641601 = 1269^2 + 801^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 6789 + ... + 7112.

22251962 is an apocalyptic number.

2251962 is an abundant number, since it is smaller than the sum of its proper divisors (2794464).

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

2251962 is a wasteful number, since it uses less digits than its factorization.

2251962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915 (or 13906 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2251962 is about 1500.6538574901. The cubic root of 2251962 is about 131.0751467531.

It can be divided in two parts, 225 and 1962, that added together give a 7-th power (2187 = 37).

The spelling of 2251962 in words is "two million, two hundred fifty-one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 13901 27802 41703 83406 125109 250218 375327 750654 1125981 2251962