Search a number
-
+
230661420 = 2235111372551
BaseRepresentation
bin11011011111110…
…01110100101100
3121002000210222120
431233321310230
5433022131140
634515512540
75500406163
oct1557716454
9532023876
10230661420
11109225380
12652b8750
1338a31362
14228c43da
15153b41d0
hexdbf9d2c

230661420 has 96 divisors (see below), whose sum is σ = 709986816. Its totient is φ = 55488000.

The previous prime is 230661407. The next prime is 230661437. The reversal of 230661420 is 24166032.

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, 89145 + ... + 91695.

It is an arithmetic number, because the mean of its divisors is an integer number (7395696).

Almost surely, 2230661420 is an apocalyptic number.

230661420 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 230661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354993408).

230661420 is an abundant number, since it is smaller than the sum of its proper divisors (479325396).

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

230661420 is a wasteful number, since it uses less digits than its factorization.

230661420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 230661420 is about 15187.5416048813. The cubic root of 230661420 is about 613.2793200964.

The spelling of 230661420 in words is "two hundred thirty million, six hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2551 2740 3014 4110 4521 5102 6028 7535 7653 8220 9042 10204 12755 15070 15306 18084 22605 25510 28061 30140 30612 38265 45210 51020 56122 76530 84183 90420 112244 140305 153060 168366 280610 336732 349487 420915 561220 698974 841830 1048461 1397948 1683660 1747435 2096922 3494870 3844357 4193844 5242305 6989740 7688714 10484610 11533071 15377428 19221785 20969220 23066142 38443570 46132284 57665355 76887140 115330710 230661420