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2249320 = 235531061
BaseRepresentation
bin1000100101001001101000
311020021111011
420211021220
51033434240
6120113304
725055533
oct10451150
94207434
102249320
1112a6a47
12905834
13609a78
14427a1a
152e66ea
hex225268

2249320 has 32 divisors (see below), whose sum is σ = 5161320. Its totient is φ = 881920.

The previous prime is 2249311. The next prime is 2249363. The reversal of 2249320 is 239422.

It can be written as a sum of positive squares in 4 ways, for example, as 2090916 + 158404 = 1446^2 + 398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2249291 and 2249300.

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, 1590 + ... + 2650.

22249320 is an apocalyptic number.

2249320 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 2249320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580660).

2249320 is an abundant number, since it is smaller than the sum of its proper divisors (2912000).

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

2249320 is a wasteful number, since it uses less digits than its factorization.

2249320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

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

The square root of 2249320 is about 1499.7733162048. The cubic root of 2249320 is about 131.0238676089.

The spelling of 2249320 in words is "two million, two hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1061 2120 2122 4244 5305 8488 10610 21220 42440 56233 112466 224932 281165 449864 562330 1124660 2249320