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2225144600 = 235271589389
BaseRepresentation
bin1000010010100001…
…0000001100011000
312202002000001112222
42010220100030120
514024114111400
61004444323212
7106066263020
oct20450201430
95662001488
102225144600
11a42044088
12521243508
13295cc6613
14171744a80
15d0537185
hex84a10318

2225144600 has 48 divisors (see below), whose sum is σ = 5912530800. Its totient is φ = 762906240.

The previous prime is 2225144563. The next prime is 2225144687. The reversal of 2225144600 is 64415222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225144600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793295 + ... + 796094.

It is an arithmetic number, because the mean of its divisors is an integer number (123177725).

Almost surely, 22225144600 is an apocalyptic number.

2225144600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225144600 is an abundant number, since it is smaller than the sum of its proper divisors (3687386200).

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

2225144600 is a wasteful number, since it uses less digits than its factorization.

2225144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589412 (or 1589403 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2225144600 is about 47171.4383923153. The cubic root of 2225144600 is about 1305.5276659267.

Adding to 2225144600 its reverse (64415222), we get a palindrome (2289559822).

The spelling of 2225144600 in words is "two billion, two hundred twenty-five million, one hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1589389 3178778 6357556 7946945 11125723 12715112 15893890 22251446 31787780 39734725 44502892 55628615 63575560 79469450 89005784 111257230 158938900 222514460 278143075 317877800 445028920 556286150 1112572300 2225144600