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2243155200 = 2835211131943
BaseRepresentation
bin1000010110110011…
…1101010100000000
312210022220002110020
42011230331110000
514043221431300
61010330333440
7106405335036
oct20554752400
95708802406
102243155200
11a51225780
1252728a280
13299961390
14173cb2556
15d1de38a0
hex85b3d500

2243155200 has 864 divisors, whose sum is σ = 9367733760. Its totient is φ = 464486400.

The previous prime is 2243155177. The next prime is 2243155231. The reversal of 2243155200 is 25513422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52166379 + ... + 52166421.

Almost surely, 22243155200 is an apocalyptic number.

2243155200 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 2243155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683866880).

2243155200 is an abundant number, since it is smaller than the sum of its proper divisors (7124578560).

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

2243155200 is a wasteful number, since it uses less digits than its factorization.

2243155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2243155200 is about 47361.9594189261. The cubic root of 2243155200 is about 1309.0405732610.

Adding to 2243155200 its reverse (25513422), we get a palindrome (2268668622).

The spelling of 2243155200 in words is "two billion, two hundred forty-three million, one hundred fifty-five thousand, two hundred".