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252024225 = 35223193757
BaseRepresentation
bin11110000010110…
…01010110100001
3122120020011020120
433001121112201
51004004233400
641001430453
76150112335
oct1701312641
9576204216
10252024225
1111a296592
127049b429
13402a0b7b
14256857c5
15171d3ca0
hexf0595a1

252024225 has 48 divisors (see below), whose sum is σ = 437626752. Its totient is φ = 127733760.

The previous prime is 252024191. The next prime is 252024257. The reversal of 252024225 is 522420252.

It is a happy number.

It is not a de Polignac number, because 252024225 - 29 = 252023713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252024195 and 252024204.

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 47 ways as a sum of consecutive naturals, for example, 332547 + ... + 333303.

It is an arithmetic number, because the mean of its divisors is an integer number (9117224).

Almost surely, 2252024225 is an apocalyptic number.

252024225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252024225 is a deficient number, since it is larger than the sum of its proper divisors (185602527).

252024225 is a wasteful number, since it uses less digits than its factorization.

252024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 252024225 is about 15875.2708638310. The cubic root of 252024225 is about 631.6561990392.

Adding to 252024225 its reverse (522420252), we get a palindrome (774444477).

The spelling of 252024225 in words is "two hundred fifty-two million, twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 193 345 575 579 757 965 1725 2271 2895 3785 4439 4825 11355 13317 14475 17411 18925 22195 52233 56775 66585 87055 110975 146101 261165 332925 435275 438303 730505 1305825 2191515 3360323 3652525 10080969 10957575 16801615 50404845 84008075 252024225