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252253300 = 225213613181
BaseRepresentation
bin11110000100100…
…01010001110100
3122120122210110211
433002101101310
51004034101200
641010355204
76152055235
oct1702212164
9576583424
10252253300
1111a432702
127058bb04
1340351210
142570508c
151722baba
hexf091474

252253300 has 72 divisors (see below), whose sum is σ = 599348792. Its totient is φ = 91584000.

The previous prime is 252253297. The next prime is 252253303. The reversal of 252253300 is 3352252.

It is an interprime number because it is at equal distance from previous prime (252253297) and next prime (252253303).

It can be written as a sum of positive squares in 12 ways, for example, as 232379536 + 19873764 = 15244^2 + 4458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252253303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77710 + ... + 80890.

Almost surely, 2252253300 is an apocalyptic number.

252253300 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 252253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299674396).

252253300 is an abundant number, since it is smaller than the sum of its proper divisors (347095492).

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

252253300 is a wasteful number, since it uses less digits than its factorization.

252253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 252253300 is about 15882.4840626396. The cubic root of 252253300 is about 631.8475203639.

The spelling of 252253300 in words is "two hundred fifty-two million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 793 1220 1300 1525 1586 3050 3172 3181 3965 6100 6362 7930 12724 15860 15905 19825 31810 39650 41353 63620 79300 79525 82706 159050 165412 194041 206765 318100 388082 413530 776164 827060 970205 1033825 1940410 2067650 2522533 3880820 4135300 4851025 5045066 9702050 10090132 12612665 19404100 25225330 50450660 63063325 126126650 252253300