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2275400 = 235231367
BaseRepresentation
bin1000101011100001001000
311021121021002
420223201020
51040303100
6120434132
725224551
oct10534110
94247232
102275400
1113145a6
12918948
136188ba
14433328
152ee2d5
hex22b848

2275400 has 48 divisors (see below), whose sum is σ = 5475840. Its totient is φ = 878400.

The previous prime is 2275393. The next prime is 2275409. The reversal of 2275400 is 45722.

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

It is not an unprimeable number, because it can be changed into a prime (2275409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6017 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (114080).

22275400 is an apocalyptic number.

2275400 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 2275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737920).

2275400 is an abundant number, since it is smaller than the sum of its proper divisors (3200440).

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

2275400 is a wasteful number, since it uses less digits than its factorization.

2275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2275400 is about 1508.4429057807. The cubic root of 2275400 is about 131.5283134299.

The spelling of 2275400 in words is "two million, two hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 367 620 734 775 1240 1468 1550 1835 2936 3100 3670 6200 7340 9175 11377 14680 18350 22754 36700 45508 56885 73400 91016 113770 227540 284425 455080 568850 1137700 2275400