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253233140200 = 23522779345557
BaseRepresentation
bin1110101111010111011…
…1110001000111101000
3220012122020211101200121
43223311313301013220
513122110140441300
6312200025013024
724203232114325
oct3536567610750
9805566741617
10253233140200
1198439562347
12410b3324174
131ab58b61ac1
14c383d85b4c
1568c1ab181a
hex3af5df11e8

253233140200 has 48 divisors (see below), whose sum is σ = 588801159180. Its totient is φ = 101287388160.

The previous prime is 253233140131. The next prime is 253233140201. The reversal of 253233140200 is 2041332352.

It can be written as a sum of positive squares in 6 ways, for example, as 21273389316 + 231959750884 = 145854^2 + 481622^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (253233140201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5535822 + ... + 5581378.

Almost surely, 2253233140200 is an apocalyptic number.

253233140200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253233140200 is an abundant number, since it is smaller than the sum of its proper divisors (335568018980).

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

253233140200 is a wasteful number, since it uses less digits than its factorization.

253233140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73366 (or 73357 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 253233140200 its reverse (2041332352), we get a palindrome (255274472552).

The spelling of 253233140200 in words is "two hundred fifty-three billion, two hundred thirty-three million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 27793 45557 55586 91114 111172 138965 182228 222344 227785 277930 364456 455570 555860 694825 911140 1111720 1138925 1389650 1822280 2277850 2779300 4555700 5558600 9111400 1266165701 2532331402 5064662804 6330828505 10129325608 12661657010 25323314020 31654142525 50646628040 63308285050 126616570100 253233140200