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230570676 = 223272235683
BaseRepresentation
bin11011011111000…
…11101010110100
3121001212012111200
431233203222310
5433011230201
634513532500
75466550500
oct1557435264
9531765450
10230570676
11109173186
1265274130
13389cbc6b
142289d300
1515397386
hexdbe3ab4

230570676 has 108 divisors (see below), whose sum is σ = 707589792. Its totient is φ = 63002016.

The previous prime is 230570647. The next prime is 230570693. The reversal of 230570676 is 676075032.

It is a happy number.

230570676 is a `hidden beast` number, since 23 + 0 + 570 + 67 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230570676.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 37731 + ... + 43413.

Almost surely, 2230570676 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 230570676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353794896).

230570676 is an abundant number, since it is smaller than the sum of its proper divisors (477019116).

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

230570676 is a wasteful number, since it uses less digits than its factorization.

230570676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 230570676 is about 15184.5538623958. The cubic root of 230570676 is about 613.1988865933.

The spelling of 230570676 in words is "two hundred thirty million, five hundred seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5683 5796 6762 10143 11366 13524 17049 20286 22732 34098 39781 40572 51147 68196 79562 102294 119343 130709 159124 204588 238686 261418 278467 358029 392127 477372 522836 556934 716058 784254 835401 914963 1113868 1176381 1432116 1568508 1670802 1829926 2352762 2506203 2744889 3341604 3659852 4705524 5012406 5489778 6404741 8234667 10024812 10979556 12809482 16469334 19214223 25618964 32938668 38428446 57642669 76856892 115285338 230570676