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2249928 = 233231249
BaseRepresentation
bin1000100101010011001000
311020022022200
420211103020
51033444203
6120120200
725060362
oct10452310
94208280
102249928
1112a744a
12906060
1360a125
14427d32
152e69a3
hex2254c8

2249928 has 24 divisors (see below), whose sum is σ = 6093750. Its totient is φ = 749952.

The previous prime is 2249921. The next prime is 2249941. The reversal of 2249928 is 8299422.

It can be written as a sum of positive squares in only one way, i.e., 1790244 + 459684 = 1338^2 + 678^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2249892 and 2249901.

It is not an unprimeable number, because it can be changed into a prime (2249921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15553 + ... + 15696.

22249928 is an apocalyptic number.

It is an amenable number.

2249928 is an abundant number, since it is smaller than the sum of its proper divisors (3843822).

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

2249928 is a wasteful number, since it uses less digits than its factorization.

2249928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31261 (or 31254 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2249928 is about 1499.9759998080. The cubic root of 2249928 is about 131.0356719668.

The spelling of 2249928 in words is "two million, two hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 31249 62498 93747 124996 187494 249992 281241 374988 562482 749976 1124964 2249928