Search a number
-
+
230515666992 = 24361323157421
BaseRepresentation
bin1101011010101111001…
…1011111000000110000
3211001000000220012000000
43112223303133000300
512234044002320432
6253521502430000
722440251561112
oct3265363370060
9731000805000
10230515666992
11898410a24a6
1238813292300
1318978493470
14b22abdd3b2
155ee24ad57c
hex35abcdf030

230515666992 has 560 divisors, whose sum is σ = 759085457088. Its totient is φ = 67251824640.

The previous prime is 230515666991. The next prime is 230515667017. The reversal of 230515666992 is 299666515032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230515666991) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 547542942 + ... + 547543362.

Almost surely, 2230515666992 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 230515666992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379542728544).

230515666992 is an abundant number, since it is smaller than the sum of its proper divisors (528569790096).

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

230515666992 is a wasteful number, since it uses less digits than its factorization.

230515666992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 230515666992 in words is "two hundred thirty billion, five hundred fifteen million, six hundred sixty-six thousand, nine hundred ninety-two".