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230050002 = 237213232617
BaseRepresentation
bin11011011011001…
…00100011010010
3121000212202021110
431231210203102
5432343100002
634454434150
75462251500
oct1555444322
9530782243
10230050002
11108947a76
1265062956
1338878c80
14227a5670
15152e2e6c
hexdb648d2

230050002 has 96 divisors (see below), whose sum is σ = 601679232. Its totient is φ = 58012416.

The previous prime is 230049983. The next prime is 230050013. The reversal of 230050002 is 200050032.

230050002 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230050002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86598 + ... + 89214.

It is an arithmetic number, because the mean of its divisors is an integer number (6267492).

Almost surely, 2230050002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230050002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300839616).

230050002 is an abundant number, since it is smaller than the sum of its proper divisors (371629230).

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

230050002 is a wasteful number, since it uses less digits than its factorization.

230050002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 230050002 is about 15167.3993156375. The cubic root of 230050002 is about 612.7369640938.

The spelling of 230050002 in words is "two hundred thirty million, fifty thousand, two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 546 598 637 897 966 1127 1274 1794 1911 2093 2254 2617 3381 3822 4186 5234 6279 6762 7851 12558 14651 15702 18319 29302 34021 36638 43953 54957 60191 68042 87906 102063 109914 120382 128233 180573 204126 238147 256466 361146 384699 421337 476294 714441 769398 782483 842674 1264011 1428882 1564966 1667029 2347449 2528022 2949359 3334058 4694898 5001087 5477381 5898718 8848077 10002174 10954762 16432143 17696154 32864286 38341667 76683334 115025001 230050002