Search a number
-
+
234500123520 = 273351361109157
BaseRepresentation
bin1101101001100101001…
…0111110101110000000
3211102021201100112211000
43122121102332232000
512320224012423040
6255421115252000
722641063106335
oct3323122765600
9742251315730
10234500123520
11904a622a683
123954574a000
1319161b02050
14b4c806898c
1561771b3130
hex36994beb80

234500123520 has 1024 divisors, whose sum is σ = 923253408000. Its totient is φ = 55897620480.

The previous prime is 234500123479. The next prime is 234500123527. The reversal of 234500123520 is 25321005432.

It is a happy number.

234500123520 is a `hidden beast` number, since 2 + 34 + 500 + 123 + 5 + 2 + 0 = 666.

234500123520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234500123527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1493631282 + ... + 1493631438.

Almost surely, 2234500123520 is an apocalyptic number.

234500123520 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 234500123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461626704000).

234500123520 is an abundant number, since it is smaller than the sum of its proper divisors (688753284480).

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

234500123520 is a wasteful number, since it uses less digits than its factorization.

234500123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 234500123520 its reverse (25321005432), we get a palindrome (259821128952).

It can be divided in two parts, 2345001 and 23520, that added together give a square (2368521 = 15392).

The spelling of 234500123520 in words is "two hundred thirty-four billion, five hundred million, one hundred twenty-three thousand, five hundred twenty".