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230120296 = 23717259241
BaseRepresentation
bin11011011011101…
…01101101101000
3121001000022200221
431231311231220
5432402322141
634500135424
75462663440
oct1555655550
9531008627
10230120296
1110899586a
1265097574
13388a1c73
14227c3120
1515308bd1
hexdb75b68

230120296 has 96 divisors (see below), whose sum is σ = 534916800. Its totient is φ = 90869760.

The previous prime is 230120291. The next prime is 230120311. The reversal of 230120296 is 692021032.

It is a happy number.

It is a super-2 number, since 2×2301202962 = 105910701262255232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230120296.

It is not an unprimeable number, because it can be changed into a prime (230120291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954736 + ... + 954976.

It is an arithmetic number, because the mean of its divisors is an integer number (5572050).

Almost surely, 2230120296 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 230120296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267458400).

230120296 is an abundant number, since it is smaller than the sum of its proper divisors (304796504).

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

230120296 is a wasteful number, since it uses less digits than its factorization.

230120296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 230120296 is about 15169.7164113242. The cubic root of 230120296 is about 612.7993669707.

The spelling of 230120296 in words is "two hundred thirty million, one hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 118 119 136 236 238 241 289 413 472 476 482 578 826 952 964 1003 1156 1652 1687 1928 2006 2023 2312 3304 3374 4012 4046 4097 6748 7021 8024 8092 8194 13496 14042 14219 16184 16388 17051 28084 28438 28679 32776 34102 56168 56876 57358 68204 69649 99533 113752 114716 119357 136408 139298 199066 229432 238714 241723 278596 398132 477428 483446 487543 557192 796264 954856 966892 975086 1692061 1933784 1950172 3384122 3900344 4109291 6768244 8218582 13536488 16437164 28765037 32874328 57530074 115060148 230120296