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230377660 = 225192343613
BaseRepresentation
bin11011011101101…
…00100010111100
3121001111101201221
431232310202330
5432434041120
634505443124
75465114662
oct1556644274
9531441657
10230377660
11109051167
12651a04a4
1338962156
142284cc32
151535a0aa
hexdbb48bc

230377660 has 96 divisors (see below), whose sum is σ = 544642560. Its totient is φ = 81430272.

The previous prime is 230377649. The next prime is 230377687. The reversal of 230377660 is 66773032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375514 + ... + 376126.

It is an arithmetic number, because the mean of its divisors is an integer number (5673360).

Almost surely, 2230377660 is an apocalyptic number.

230377660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230377660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272321280).

230377660 is an abundant number, since it is smaller than the sum of its proper divisors (314264900).

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

230377660 is a wasteful number, since it uses less digits than its factorization.

230377660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 230377660 is about 15178.1968626053. The cubic root of 230377660 is about 613.0277312088.

The spelling of 230377660 in words is "two hundred thirty million, three hundred seventy-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 43 46 76 86 92 95 115 172 190 215 230 380 430 437 460 613 817 860 874 989 1226 1634 1748 1978 2185 2452 3065 3268 3956 4085 4370 4945 6130 8170 8740 9890 11647 12260 14099 16340 18791 19780 23294 26359 28198 37582 46588 52718 56396 58235 70495 75164 93955 105436 116470 131795 140990 187910 232940 263590 267881 281980 375820 500821 527180 535762 606257 1001642 1071524 1212514 1339405 2003284 2425028 2504105 2678810 3031285 5008210 5357620 6062570 10016420 11518883 12125140 23037766 46075532 57594415 115188830 230377660