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230203272 = 233133123801
BaseRepresentation
bin11011011100010…
…01111110001000
3121001011112112010
431232021332020
5432413001042
634502015520
75463460365
oct1556117610
9531145463
10230203272
11108a42142
12651175a0
1338900970
142280546c
151532359c
hexdb89f88

230203272 has 64 divisors (see below), whose sum is σ = 639797760. Its totient is φ = 68544000.

The previous prime is 230203271. The next prime is 230203277. The reversal of 230203272 is 272302032.

It is not an unprimeable number, because it can be changed into a prime (230203271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229 + ... + 21572.

It is an arithmetic number, because the mean of its divisors is an integer number (9996840).

Almost surely, 2230203272 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 230203272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319898880).

230203272 is an abundant number, since it is smaller than the sum of its proper divisors (409594488).

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

230203272 is a wasteful number, since it uses less digits than its factorization.

230203272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23854 (or 23850 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 230203272 is about 15172.4510874150. The cubic root of 230203272 is about 612.8730118294.

The spelling of 230203272 in words is "two hundred thirty million, two hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 23801 47602 71403 95204 142806 190408 285612 309413 571224 618826 737831 928239 1237652 1475662 1856478 2213493 2475304 2951324 3712956 4426986 5902648 7425912 8853972 9591803 17707944 19183606 28775409 38367212 57550818 76734424 115101636 230203272