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253222200 = 233452721129
BaseRepresentation
bin11110001011111…
…01110100111000
3122122111000120000
433011331310320
51004311102300
641043233000
76163232100
oct1705756470
9578430500
10253222200
1111aa34650
1270978760
134060022a
14258b8200
151736dc00
hexf17dd38

253222200 has 720 divisors, whose sum is σ = 1154557800. Its totient is φ = 50803200.

The previous prime is 253222187. The next prime is 253222201. The reversal of 253222200 is 2222352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253222201) 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 179 ways as a sum of consecutive naturals, for example, 8731786 + ... + 8731814.

Almost surely, 2253222200 is an apocalyptic number.

253222200 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 253222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577278900).

253222200 is an abundant number, since it is smaller than the sum of its proper divisors (901335600).

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

253222200 is a wasteful number, since it uses less digits than its factorization.

253222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 253222200 is about 15912.9569847970. The cubic root of 253222200 is about 632.6554581503.

Adding to 253222200 its reverse (2222352), we get a palindrome (255444552).

The spelling of 253222200 in words is "two hundred fifty-three million, two hundred twenty-two thousand, two hundred".