Search a number
-
+
230030917632 = 214342943139
BaseRepresentation
bin1101011000111011101…
…0010100000000000000
3210222202020202100220000
43112032322110000000
512232100403331012
6253401424520000
722422244352505
oct3261672240000
9728666670800
10230030917632
118961250209a
12386b8a80000
13188cbc1ab19
14b1c26974ac
155eb4b58ddc
hex358ee94000

230030917632 has 600 divisors, whose sum is σ = 732696333600. Its totient is φ = 71791017984.

The previous prime is 230030917631. The next prime is 230030917639. The reversal of 230030917632 is 236719030032.

230030917632 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 0 + 9 + 17 + 632 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230030917631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1654898619 + ... + 1654898757.

It is an arithmetic number, because the mean of its divisors is an integer number (1221160556).

Almost surely, 2230030917632 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 230030917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366348166800).

230030917632 is an abundant number, since it is smaller than the sum of its proper divisors (502665415968).

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

230030917632 is an equidigital number, since it uses as much as digits as its factorization.

230030917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 230030917632 its reverse (236719030032), we get a palindrome (466749947664).

The spelling of 230030917632 in words is "two hundred thirty billion, thirty million, nine hundred seventeen thousand, six hundred thirty-two".