Search a number
-
+
230081376 = 2537893847
BaseRepresentation
bin11011011011011…
…00001101100000
3121000221100022110
431231230031200
5432400101001
634455235320
75462442120
oct1555541540
9530840273
10230081376
111089695a8
1265078b40
133888a335
14227b2c80
15152ec3d6
hexdb6c360

230081376 has 96 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 64982016.

The previous prime is 230081339. The next prime is 230081407. The reversal of 230081376 is 673180032.

230081376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57885 + ... + 61731.

It is an arithmetic number, because the mean of its divisors is an integer number (7272720).

Almost surely, 2230081376 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 230081376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

230081376 is an abundant number, since it is smaller than the sum of its proper divisors (468099744).

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

230081376 is a wasteful number, since it uses less digits than its factorization.

230081376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 230081376 is about 15168.4335381080. The cubic root of 230081376 is about 612.7648176553.

The spelling of 230081376 in words is "two hundred thirty million, eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 3847 4272 4984 7476 7694 8544 9968 11541 14952 15388 19936 23082 26929 29904 30776 46164 53858 59808 61552 80787 92328 107716 123104 161574 184656 215432 323148 342383 369312 430864 646296 684766 861728 1027149 1292592 1369532 2054298 2396681 2585184 2739064 4108596 4793362 5478128 7190043 8217192 9586724 10956256 14380086 16434384 19173448 28760172 32868768 38346896 57520344 76693792 115040688 230081376