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230461537 = 1713798953
BaseRepresentation
bin11011011110010…
…01000001100001
3121001122122210111
431233021001201
5432444232122
634511331321
75465614345
oct1557110141
9531578714
10230461537
111090a9189
1265220b41
1338991397
1422871625
1515374d77
hexdbc9061

230461537 has 8 divisors (see below), whose sum is σ = 245801736. Its totient is φ = 215319552.

The previous prime is 230461529. The next prime is 230461547. The reversal of 230461537 is 735164032.

It can be written as a sum of positive squares in 4 ways, for example, as 72607441 + 157854096 = 8521^2 + 12564^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 230461537 - 23 = 230461529 is a prime.

It is a super-2 number, since 2×2304615372 = 106225040072804738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230461499 and 230461508.

It is not an unprimeable number, because it can be changed into a prime (230461547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47148 + ... + 51805.

It is an arithmetic number, because the mean of its divisors is an integer number (30725217).

Almost surely, 2230461537 is an apocalyptic number.

It is an amenable number.

230461537 is a deficient number, since it is larger than the sum of its proper divisors (15340199).

230461537 is a wasteful number, since it uses less digits than its factorization.

230461537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99107.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 230461537 is about 15180.9596863966. The cubic root of 230461537 is about 613.1021202040.

The spelling of 230461537 in words is "two hundred thirty million, four hundred sixty-one thousand, five hundred thirty-seven".

Divisors: 1 17 137 2329 98953 1682201 13556561 230461537