Search a number
-
+
231420000 = 2535471929
BaseRepresentation
bin11011100101100…
…11000001100000
3121010110100120010
431302303001200
5433220420000
634544044520
75510015610
oct1562630140
9533410503
10231420000
111096a32a9
1265603740
1338c38716
1422a40a40
15154b3d50
hexdcb3060

231420000 has 480 divisors, whose sum is σ = 944697600. Its totient is φ = 48384000.

The previous prime is 231419999. The next prime is 231420011. The reversal of 231420000 is 24132.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7979986 + ... + 7980014.

It is an arithmetic number, because the mean of its divisors is an integer number (1968120).

Almost surely, 2231420000 is an apocalyptic number.

231420000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).

231420000 is an abundant number, since it is smaller than the sum of its proper divisors (713277600).

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

231420000 is a wasteful number, since it uses less digits than its factorization.

231420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 231420000 is about 15212.4948644198. The cubic root of 231420000 is about 613.9508850286.

Adding to 231420000 its reverse (24132), we get a palindrome (231444132).

The spelling of 231420000 in words is "two hundred thirty-one million, four hundred twenty thousand".