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230605620 = 22357619001
BaseRepresentation
bin11011011111011…
…00001100110100
3121001220222102220
431233230030310
5433013334440
634514402340
75500054410
oct1557541464
9531828386
10230605620
11109197463
12652903b0
1338a11b3b
14228abd40
15153a28d0
hexdbec334

230605620 has 96 divisors (see below), whose sum is σ = 750118656. Its totient is φ = 51840000.

The previous prime is 230605591. The next prime is 230605643. The reversal of 230605620 is 26506032.

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, 21120 + ... + 30120.

It is an arithmetic number, because the mean of its divisors is an integer number (7813736).

Almost surely, 2230605620 is an apocalyptic number.

230605620 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 230605620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375059328).

230605620 is an abundant number, since it is smaller than the sum of its proper divisors (519513036).

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

230605620 is a wasteful number, since it uses less digits than its factorization.

230605620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 230605620 is about 15185.7044617627. The cubic root of 230605620 is about 613.2298626912.

It can be divided in two parts, 23060 and 5620, that added together give a triangular number (28680 = T239).

The spelling of 230605620 in words is "two hundred thirty million, six hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 9001 12810 18002 25620 27003 36004 45005 54006 63007 90010 108012 126014 135015 180020 189021 252028 270030 315035 378042 540060 549061 630070 756084 945105 1098122 1260140 1647183 1890210 2196244 2745305 3294366 3780420 3843427 5490610 6588732 7686854 8235915 10981220 11530281 15373708 16471830 19217135 23060562 32943660 38434270 46121124 57651405 76868540 115302810 230605620