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230660430 = 235711137681
BaseRepresentation
bin11011011111110…
…01100101001110
3121002000202121220
431233321211032
5433022113210
634515504210
75500403250
oct1557714516
9532022556
10230660430
11109224660
12652b8066
1338a30a80
14228c3cd0
15153b3c70
hexdbf994e

230660430 has 128 divisors (see below), whose sum is σ = 743371776. Its totient is φ = 44236800.

The previous prime is 230660411. The next prime is 230660453. The reversal of 230660430 is 34066032.

It is a self number, because there is not a number n which added to its sum of digits gives 230660430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26190 + ... + 33870.

It is an arithmetic number, because the mean of its divisors is an integer number (5807592).

Almost surely, 2230660430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230660430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371685888).

230660430 is an abundant number, since it is smaller than the sum of its proper divisors (512711346).

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

230660430 is a wasteful number, since it uses less digits than its factorization.

230660430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 230660430 is about 15187.5090123430. The cubic root of 230660430 is about 613.2784426958.

The spelling of 230660430 in words is "two hundred thirty million, six hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 7681 10010 15015 15362 23043 30030 38405 46086 53767 76810 84491 99853 107534 115215 161301 168982 199706 230430 253473 268835 299559 322602 422455 499265 506946 537670 591437 599118 698971 806505 844910 998530 1098383 1182874 1267365 1397942 1497795 1613010 1774311 2096913 2196766 2534730 2957185 2995590 3295149 3494855 3548622 4193826 5491915 5914370 6590298 6989710 7688681 8871555 10484565 10983830 15377362 16475745 17743110 20969130 23066043 32951490 38443405 46132086 76886810 115330215 230660430