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252331740 = 223354310867
BaseRepresentation
bin11110000101001…
…00011011011100
3122120210210002000
433002210123130
51004044103430
641012202300
76152533023
oct1702443334
9576723060
10252331740
1111a486631
1270609390
134037ab2b
14257258ba
1517244e60
hexf0a46dc

252331740 has 96 divisors (see below), whose sum is σ = 803362560. Its totient is φ = 65717568.

The previous prime is 252331733. The next prime is 252331789. The reversal of 252331740 is 47133252.

252331740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2523317402 = 127342614022855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17787 + ... + 28653.

It is an arithmetic number, because the mean of its divisors is an integer number (8368360).

Almost surely, 2252331740 is an apocalyptic number.

252331740 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 252331740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401681280).

252331740 is an abundant number, since it is smaller than the sum of its proper divisors (551030820).

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

252331740 is a wasteful number, since it uses less digits than its factorization.

252331740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252331740 is about 15884.9532577216. The cubic root of 252331740 is about 631.9130061053.

Adding to 252331740 its reverse (47133252), we get a palindrome (299464992).

The spelling of 252331740 in words is "two hundred fifty-two million, three hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 10867 11610 21734 23220 32601 43468 54335 65202 97803 108670 130404 163005 195606 217340 293409 326010 391212 467281 489015 586818 652020 934562 978030 1173636 1401843 1467045 1869124 1956060 2336405 2803686 2934090 4205529 4672810 5607372 5868180 7009215 8411058 9345620 12616587 14018430 16822116 21027645 25233174 28036860 42055290 50466348 63082935 84110580 126165870 252331740