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252232740 = 2232517312659
BaseRepresentation
bin11110000100011…
…00010000100100
3122120121202021100
433002030100210
51004032421430
641010120100
76151641264
oct1702142044
9576552240
10252232740
1111a419211
1270580030
1340344a56
14256db7a4
1517225960
hexf08c424

252232740 has 144 divisors (see below), whose sum is σ = 836559360. Its totient is φ = 61240320.

The previous prime is 252232681. The next prime is 252232751. The reversal of 252232740 is 47232252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93531 + ... + 96189.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2252232740 is an apocalyptic number.

252232740 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 252232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

252232740 is an abundant number, since it is smaller than the sum of its proper divisors (584326620).

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

252232740 is a wasteful number, since it uses less digits than its factorization.

252232740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252232740 is about 15881.8367955347. The cubic root of 252232740 is about 631.8303535743.

Adding to 252232740 its reverse (47232252), we get a palindrome (299464992).

The spelling of 252232740 in words is "two hundred fifty-two million, two hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2659 2790 3060 3162 4743 5270 5318 5580 6324 7905 7977 9486 10540 10636 13295 15810 15954 18972 23715 23931 26590 31620 31908 39885 45203 47430 47862 53180 79770 82429 90406 94860 95724 119655 135609 159540 164858 180812 226015 239310 247287 271218 329716 406827 412145 452030 478620 494574 542436 678045 741861 813654 824290 904060 989148 1236435 1356090 1401293 1483722 1627308 1648580 2034135 2472870 2712180 2802586 2967444 3709305 4068270 4203879 4945740 5605172 7006465 7418610 8136540 8407758 12611637 14012930 14837220 16815516 21019395 25223274 28025860 42038790 50446548 63058185 84077580 126116370 252232740