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230456214 = 232291492963
BaseRepresentation
bin11011011110001…
…11101110010110
3121001122101111100
431233013232112
5432444044324
634511250530
75465563002
oct1557075626
9531571440
10230456214
111090a518a
1265219a46
133898bb31
142286d702
15153734c9
hexdbc7b96

230456214 has 48 divisors (see below), whose sum is σ = 520182000. Its totient is φ = 73647168.

The previous prime is 230456179. The next prime is 230456257. The reversal of 230456214 is 412654032.

230456214 is a `hidden beast` number, since 2 + 30 + 4 + 5 + 621 + 4 = 666.

It is a super-2 number, since 2×2304562142 = 106220133142427592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76297 + ... + 79259.

It is an arithmetic number, because the mean of its divisors is an integer number (10837125).

Almost surely, 2230456214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230456214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260091000).

230456214 is an abundant number, since it is smaller than the sum of its proper divisors (289725786).

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

230456214 is a wasteful number, since it uses less digits than its factorization.

230456214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230456214 is about 15180.7843670872. The cubic root of 230456214 is about 613.0973998680.

The spelling of 230456214 in words is "two hundred thirty million, four hundred fifty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 149 174 261 298 447 522 894 1341 2682 2963 4321 5926 8642 8889 12963 17778 25926 26667 38889 53334 77778 85927 171854 257781 441487 515562 773343 882974 1324461 1546686 2648922 3973383 7946766 12803123 25606246 38409369 76818738 115228107 230456214