Search a number
-
+
235223040 = 21135131931
BaseRepresentation
bin11100000010100…
…11100000000000
3121101121120100110
432001103200000
5440204114130
635201351320
75554235313
oct1601234000
9541546313
10235223040
11110860608
1266938540
133996a740
142335097a
15159b5ab0
hexe053800

235223040 has 384 divisors, whose sum is σ = 880588800. Its totient is φ = 53084160.

The previous prime is 235223039. The next prime is 235223069. The reversal of 235223040 is 40322532.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 235222998 and 235223016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7587825 + ... + 7587855.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2235223040 is an apocalyptic number.

235223040 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 235223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

235223040 is an abundant number, since it is smaller than the sum of its proper divisors (645365760).

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

235223040 is a wasteful number, since it uses less digits than its factorization.

235223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 235223040 is about 15336.9827541143. The cubic root of 235223040 is about 617.2957489114.

Adding to 235223040 its reverse (40322532), we get a palindrome (275545572).

It can be divided in two parts, 23522 and 3040, that added together give a palindrome (26562).

The spelling of 235223040 in words is "two hundred thirty-five million, two hundred twenty-three thousand, forty".