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2225045200 = 24527794659
BaseRepresentation
bin1000010010011111…
…0111111011010000
312202001211000012111
42010213313323100
514024102421300
61004442235104
7106065400150
oct20447677320
95661730174
102225045200
11a41a86434
125211b5a94
13295c902c1
1417171a760
15d05179ba
hex849f7ed0

2225045200 has 60 divisors (see below), whose sum is σ = 6109346080. Its totient is φ = 762871680.

The previous prime is 2225045197. The next prime is 2225045201. The reversal of 2225045200 is 25405222.

It is a happy number.

It is a super-2 number, since 2×22250452002 = 9901652284086080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225045201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394530 + ... + 400129.

Almost surely, 22225045200 is an apocalyptic number.

2225045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225045200 is an abundant number, since it is smaller than the sum of its proper divisors (3884300880).

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

2225045200 is a wasteful number, since it uses less digits than its factorization.

2225045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794684 (or 794673 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2225045200 is about 47170.3847768915. The cubic root of 2225045200 is about 1305.5082257845.

The spelling of 2225045200 in words is "two billion, two hundred twenty-five million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 794659 1589318 3178636 3973295 5562613 6357272 7946590 11125226 12714544 15893180 19866475 22250452 27813065 31786360 39732950 44500904 55626130 63572720 79465900 89001808 111252260 139065325 158931800 222504520 278130650 317863600 445009040 556261300 1112522600 2225045200