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2254900 = 225222549
BaseRepresentation
bin1000100110100000110100
311020120010211
420212200310
51034124100
6120155204
725111024
oct10464064
94216124
102254900
11130015a
12908b04
1360c47b
14429a84
152e81ba
hex226834

2254900 has 18 divisors (see below), whose sum is σ = 4893350. Its totient is φ = 901920.

The previous prime is 2254873. The next prime is 2254907. The reversal of 2254900 is 94522.

It is a happy number.

2254900 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 712336 + 1542564 = 844^2 + 1242^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11175 + ... + 11374.

22254900 is an apocalyptic number.

2254900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254900 is an abundant number, since it is smaller than the sum of its proper divisors (2638450).

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

2254900 is a wasteful number, since it uses less digits than its factorization.

2254900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22563 (or 22556 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2254900 is about 1501.6324450411. The cubic root of 2254900 is about 131.1321239476.

It can be divided in two parts, 225 and 4900, that multiplied together give a square (1102500 = 10502).

The spelling of 2254900 in words is "two million, two hundred fifty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22549 45098 90196 112745 225490 450980 563725 1127450 2254900