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230204460132 = 22347917595113
BaseRepresentation
bin1101011001100101000…
…0010100110001100100
3211000012100022020110000
43112121100110301210
512232424320211012
6253430544301300
722426452424353
oct3263120246144
9730170266400
10230204460132
11896a1464149
1238747011830
1318928b706aa
14b1db74d99a
155ec4ed8ddc
hex3599414c64

230204460132 has 120 divisors (see below), whose sum is σ = 609883366400. Its totient is φ = 75705611904.

The previous prime is 230204460103. The next prime is 230204460151. The reversal of 230204460132 is 231064402032.

230204460132 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 4 + 4 + 601 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230204460096 and 230204460105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45020808 + ... + 45025920.

Almost surely, 2230204460132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230204460132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304941683200).

230204460132 is an abundant number, since it is smaller than the sum of its proper divisors (379678906268).

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

230204460132 is a wasteful number, since it uses less digits than its factorization.

230204460132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 230204460132 its reverse (231064402032), we get a palindrome (461268862164).

The spelling of 230204460132 in words is "two hundred thirty billion, two hundred four million, four hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 1759 2133 2844 3518 4266 5113 5277 6399 7036 8532 10226 10554 12798 15339 15831 20452 21108 25596 30678 31662 46017 47493 61356 63324 92034 94986 138051 138961 142479 184068 189972 276102 277922 284958 403927 414153 416883 552204 555844 569916 807854 828306 833766 1211781 1250649 1615708 1656612 1667532 2423562 2501298 3635343 3751947 4847124 5002596 7270686 7503894 8993767 10906029 11255841 14541372 15007788 17987534 21812058 22511682 26981301 32718087 35975068 43624116 45023364 53962602 65436174 80943903 107925204 130872348 161887806 242831709 323775612 485663418 710507593 728495127 971326836 1421015186 1456990254 2131522779 2842030372 2913980508 4263045558 6394568337 8526091116 12789136674 19183705011 25578273348 38367410022 57551115033 76734820044 115102230066 230204460132