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2255040 = 2635529
BaseRepresentation
bin1000100110100011000000
311020120100000
420212203000
51034130130
6120200000
725111314
oct10464300
94216300
102255040
111300277
12909000
1360c558
14429b44
152e8260
hex2268c0

2255040 has 168 divisors, whose sum is σ = 8321040. Its totient is φ = 580608.

The previous prime is 2255023. The next prime is 2255063. The reversal of 2255040 is 405522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77746 + ... + 77774.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

22255040 is an apocalyptic number.

2255040 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 2255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160520).

2255040 is an abundant number, since it is smaller than the sum of its proper divisors (6066000).

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

2255040 is an equidigital number, since it uses as much as digits as its factorization.

2255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2255040 is about 1501.6790602522. The cubic root of 2255040 is about 131.1348377586.

The spelling of 2255040 in words is "two million, two hundred fifty-five thousand, forty".