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230434641520 = 245109239110569
BaseRepresentation
bin1101011010011011111…
…0011001011001110000
3211000210101102122221121
43112212332121121300
512233412232012040
6253505450032024
722435246064206
oct3264676313160
9730711378847
10230434641520
11897aa3908a6
12387b0118614
13189647643b5
14b22014b076
155eda305c4a
hex35a6f99670

230434641520 has 80 divisors (see below), whose sum is σ = 542942928000. Its totient is φ = 90945275904.

The previous prime is 230434641499. The next prime is 230434641533. The reversal of 230434641520 is 25146434032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028796 + ... + 2139364.

It is an arithmetic number, because the mean of its divisors is an integer number (6786786600).

Almost surely, 2230434641520 is an apocalyptic number.

230434641520 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 230434641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271471464000).

230434641520 is an abundant number, since it is smaller than the sum of its proper divisors (312508286480).

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

230434641520 is a wasteful number, since it uses less digits than its factorization.

230434641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110930 (or 110924 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 230434641520 in words is "two hundred thirty billion, four hundred thirty-four million, six hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 239 436 478 545 872 956 1090 1195 1744 1912 2180 2390 3824 4360 4780 8720 9560 19120 26051 52102 104204 110569 130255 208408 221138 260510 416816 442276 521020 552845 884552 1042040 1105690 1769104 2084080 2211380 4422760 8845520 12052021 24104042 26425991 48208084 52851982 60260105 96416168 105703964 120520210 132129955 192832336 211407928 241040420 264259910 422815856 482080840 528519820 964161680 1057039640 2114079280 2880433019 5760866038 11521732076 14402165095 23043464152 28804330190 46086928304 57608660380 115217320760 230434641520