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2263400 = 235211317
BaseRepresentation
bin1000101000100101101000
311020222210122
420220211220
51034412100
6120302412
725144556
oct10504550
94228718
102263400
111306587
12911a08
136132b9
1442cbd6
152ea985
hex228968

2263400 has 24 divisors (see below), whose sum is σ = 5262870. Its totient is φ = 905280.

The previous prime is 2263381. The next prime is 2263411. The reversal of 2263400 is 43622.

It can be written as a sum of positive squares in 3 ways, for example, as 2149156 + 114244 = 1466^2 + 338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5459 + ... + 5858.

22263400 is an apocalyptic number.

2263400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263400 is an abundant number, since it is smaller than the sum of its proper divisors (2999470).

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

2263400 is a wasteful number, since it uses less digits than its factorization.

2263400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2263400 is about 1504.4600360262. The cubic root of 2263400 is about 131.2966878499.

The spelling of 2263400 in words is "two million, two hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11317 22634 45268 56585 90536 113170 226340 282925 452680 565850 1131700 2263400