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2249440 = 25517827
BaseRepresentation
bin1000100101001011100000
311020021122121
420211023200
51033440230
6120114024
725056064
oct10451340
94207577
102249440
1112a7046
12905914
13609b3b
14427aa4
152e677a
hex2252e0

2249440 has 48 divisors (see below), whose sum is σ = 5633712. Its totient is φ = 845824.

The previous prime is 2249431. The next prime is 2249441. The reversal of 2249440 is 449422.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2307 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (117369).

22249440 is an apocalyptic number.

2249440 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 2249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816856).

2249440 is an abundant number, since it is smaller than the sum of its proper divisors (3384272).

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

2249440 is a wasteful number, since it uses less digits than its factorization.

2249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2249440 is about 1499.8133217171. The cubic root of 2249440 is about 131.0261975849.

The spelling of 2249440 in words is "two million, two hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 827 1360 1654 2720 3308 4135 6616 8270 13232 14059 16540 26464 28118 33080 56236 66160 70295 112472 132320 140590 224944 281180 449888 562360 1124720 2249440