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2253440 = 2757503
BaseRepresentation
bin1000100110001010000000
311020111010202
420212022000
51034102230
6120144332
725103540
oct10461200
94214122
102253440
1112aa052
129080a8
1360b8c7
14429320
152e7a45
hex226280

2253440 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 771072.

The previous prime is 2253439. The next prime is 2253451. The reversal of 2253440 is 443522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4229 + ... + 4731.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22253440 is an apocalyptic number.

2253440 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 2253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2253440 is an abundant number, since it is smaller than the sum of its proper divisors (3915520).

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

2253440 is an equidigital number, since it uses as much as digits as its factorization.

2253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2253440 is about 1501.1462287199. The cubic root of 2253440 is about 131.1038160794.

Adding to 2253440 its reverse (443522), we get a palindrome (2696962).

The spelling of 2253440 in words is "two million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 503 560 640 896 1006 1120 2012 2240 2515 3521 4024 4480 5030 7042 8048 10060 14084 16096 17605 20120 28168 32192 35210 40240 56336 64384 70420 80480 112672 140840 160960 225344 281680 321920 450688 563360 1126720 2253440