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252332240 = 2453154153
BaseRepresentation
bin11110000101001…
…00100011010000
3122120210210202112
433002210203100
51004044112430
641012204452
76152534336
oct1702444320
9576723675
10252332240
1111a486a46
1270609728
134037b124
1425725b56
1517245195
hexf0a48d0

252332240 has 20 divisors (see below), whose sum is σ = 586672644. Its totient is φ = 100932864.

The previous prime is 252332233. The next prime is 252332257. The reversal of 252332240 is 42233252.

It can be written as a sum of positive squares in 2 ways, for example, as 32581264 + 219750976 = 5708^2 + 14824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576997 + ... + 1577156.

Almost surely, 2252332240 is an apocalyptic number.

252332240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252332240 is an abundant number, since it is smaller than the sum of its proper divisors (334340404).

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

252332240 is a wasteful number, since it uses less digits than its factorization.

252332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154166 (or 3154160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 252332240 is about 15884.9689958778. The cubic root of 252332240 is about 631.9134234875.

Adding to 252332240 its reverse (42233252), we get a palindrome (294565492).

The spelling of 252332240 in words is "two hundred fifty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3154153 6308306 12616612 15770765 25233224 31541530 50466448 63083060 126166120 252332240