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2249860 = 225236773
BaseRepresentation
bin1000100101010010000100
311020022020011
420211102010
51033443420
6120120004
725060234
oct10452204
94208204
102249860
1112a7398
12906004
1360a0a2
14427cc4
152e695a
hex225484

2249860 has 48 divisors (see below), whose sum is σ = 5072256. Its totient is φ = 836352.

The previous prime is 2249827. The next prime is 2249861. The reversal of 2249860 is 689422.

It is not an unprimeable number, because it can be changed into a prime (2249861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30784 + ... + 30856.

It is an arithmetic number, because the mean of its divisors is an integer number (105672).

22249860 is an apocalyptic number.

2249860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536128).

2249860 is an abundant number, since it is smaller than the sum of its proper divisors (2822396).

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

2249860 is a wasteful number, since it uses less digits than its factorization.

2249860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2249860 is about 1499.9533326074. The cubic root of 2249860 is about 131.0343518482.

The spelling of 2249860 in words is "two million, two hundred forty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 67 73 92 115 134 146 230 268 292 335 365 460 670 730 1340 1460 1541 1679 3082 3358 4891 6164 6716 7705 8395 9782 15410 16790 19564 24455 30820 33580 48910 97820 112493 224986 449972 562465 1124930 2249860