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230070012 = 223192373601
BaseRepresentation
bin11011011011010…
…01011011111100
3121000220202201120
431231221123330
5432344220022
634455110540
75462364024
oct1555513374
9530822646
10230070012
11108961007
1265072450
1338885103
14227aca84
15152e8d5c
hexdb696fc

230070012 has 96 divisors (see below), whose sum is σ = 598725120. Its totient is φ = 68428800.

The previous prime is 230070007. The next prime is 230070013. The reversal of 230070012 is 210070032.

It is a junction number, because it is equal to n+sod(n) for n = 230069973 and 230070000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230070013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382512 + ... + 383112.

It is an arithmetic number, because the mean of its divisors is an integer number (6236720).

Almost surely, 2230070012 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 230070012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299362560).

230070012 is an abundant number, since it is smaller than the sum of its proper divisors (368655108).

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

230070012 is a wasteful number, since it uses less digits than its factorization.

230070012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 230070012 is about 15168.0589397589. The cubic root of 230070012 is about 612.7547290885.

The spelling of 230070012 in words is "two hundred thirty million, seventy thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 73 76 92 114 138 146 219 228 276 292 437 438 601 874 876 1202 1311 1387 1679 1748 1803 2404 2622 2774 3358 3606 4161 5037 5244 5548 6716 7212 8322 10074 11419 13823 16644 20148 22838 27646 31901 34257 41469 43873 45676 55292 63802 68514 82938 87746 95703 127604 131619 137028 165876 175492 191406 262637 263238 382812 525274 526476 787911 833587 1009079 1050548 1575822 1667174 2018158 2500761 3027237 3151644 3334348 4036316 5001522 6054474 10003044 12108948 19172501 38345002 57517503 76690004 115035006 230070012