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252210320 = 2456434903
BaseRepresentation
bin11110000100001…
…10110010010000
3122120120121111222
433002012302100
51004031212240
641005424212
76151516025
oct1702066220
9576517458
10252210320
1111a40338a
127056b068
134033779b
14256d354c
151721deb5
hexf086c90

252210320 has 40 divisors (see below), whose sum is σ = 587420736. Its totient is φ = 100706688.

The previous prime is 252210307. The next prime is 252210337. The reversal of 252210320 is 23012252.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2522103202 = 127220091029004800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 48989 + ... + 53891.

Almost surely, 2252210320 is an apocalyptic number.

252210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252210320 is an abundant number, since it is smaller than the sum of its proper divisors (335210416).

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

252210320 is a wasteful number, since it uses less digits than its factorization.

252210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 252210320 is about 15881.1309420960. The cubic root of 252210320 is about 631.8116326947.

Adding to 252210320 its reverse (23012252), we get a palindrome (275222572).

The spelling of 252210320 in words is "two hundred fifty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 643 1286 2572 3215 4903 5144 6430 9806 10288 12860 19612 24515 25720 39224 49030 51440 78448 98060 196120 392240 3152629 6305258 12610516 15763145 25221032 31526290 50442064 63052580 126105160 252210320