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230736772 = 22753891747
BaseRepresentation
bin11011100000011…
…00001110000100
3121002011122100101
431300030032010
5433032034042
634521253444
75501141650
oct1560141604
9532148311
10230736772
11109276a52
1265334284
1338a59746
1422903a60
15153cb6b7
hexdc0c384

230736772 has 48 divisors (see below), whose sum is σ = 475735680. Its totient is φ = 95876352.

The previous prime is 230736757. The next prime is 230736791. The reversal of 230736772 is 277637032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131203 + ... + 132949.

It is an arithmetic number, because the mean of its divisors is an integer number (9911160).

Almost surely, 2230736772 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 230736772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

230736772 is an abundant number, since it is smaller than the sum of its proper divisors (244998908).

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

230736772 is a wasteful number, since it uses less digits than its factorization.

230736772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The square root of 230736772 is about 15190.0221197996. The cubic root of 230736772 is about 613.3460944362.

The spelling of 230736772 in words is "two hundred thirty million, seven hundred thirty-six thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 53 89 106 178 212 356 371 623 742 1246 1484 1747 2492 3494 4717 6988 9434 12229 18868 24458 33019 48916 66038 92591 132076 155483 185182 310966 370364 621932 648137 1088381 1296274 2176762 2592548 4353524 8240599 16481198 32962396 57684193 115368386 230736772