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230143968 = 25321395749
BaseRepresentation
bin11011011011110…
…11011111100000
3121001001112011200
431231323133200
5432404101333
634500441200
75463122445
oct1555733740
9531045150
10230143968
11108a0162a
12650a9200
13388ac982
14227cb9cc
1515310c13
hexdb7b7e0

230143968 has 72 divisors (see below), whose sum is σ = 659295000. Its totient is φ = 76149504.

The previous prime is 230143937. The next prime is 230143981. The reversal of 230143968 is 869341032.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37158 + ... + 42906.

It is an arithmetic number, because the mean of its divisors is an integer number (9156875).

Almost surely, 2230143968 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 230143968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329647500).

230143968 is an abundant number, since it is smaller than the sum of its proper divisors (429151032).

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

230143968 is a wasteful number, since it uses less digits than its factorization.

230143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 230143968 is about 15170.4966299723. The cubic root of 230143968 is about 612.8203787191.

The spelling of 230143968 in words is "two hundred thirty million, one hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 5749 6672 10008 11498 13344 17247 20016 22996 34494 40032 45992 51741 68988 91984 103482 137976 183968 206964 275952 413928 551904 799111 827856 1598222 1655712 2397333 3196444 4794666 6392888 7191999 9589332 12785776 14383998 19178664 25571552 28767996 38357328 57535992 76714656 115071984 230143968