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253224200 = 23524130881
BaseRepresentation
bin11110001011111…
…10010100001000
3122122111010022002
433011332110020
51004311133300
641043250132
76163240655
oct1705762410
9578433262
10253224200
1111aa360a9
1270979948
1340601108
14258b8c2c
151736e5d5
hexf17e508

253224200 has 48 divisors (see below), whose sum is σ = 603125460. Its totient is φ = 98816000.

The previous prime is 253224173. The next prime is 253224211. The reversal of 253224200 is 2422352.

253224200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 95922436 + 157301764 = 9794^2 + 12542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7241 + ... + 23640.

Almost surely, 2253224200 is an apocalyptic number.

253224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253224200 is an abundant number, since it is smaller than the sum of its proper divisors (349901260).

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

253224200 is a wasteful number, since it uses less digits than its factorization.

253224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30938 (or 30929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 253224200 is about 15913.0198265446. The cubic root of 253224200 is about 632.6571237594.

Adding to 253224200 its reverse (2422352), we get a palindrome (255646552).

The spelling of 253224200 in words is "two hundred fifty-three million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 30881 61762 123524 154405 247048 308810 617620 772025 1235240 1266121 1544050 2532242 3088100 5064484 6176200 6330605 10128968 12661210 25322420 31653025 50644840 63306050 126612100 253224200