Search a number
-
+
20213525232 = 24321779127823
BaseRepresentation
bin10010110100110100…
…011110101011110000
31221011201022110210200
4102310310132223300
5312344130301412
613141433555200
71313624062305
oct226464365360
957151273720
1020213525232
11863300a75a
123b01575b00
131ba19b9224
14d9a7c90ac
157d48979dc
hex4b4d1eaf0

20213525232 has 240 divisors, whose sum is σ = 61207511040. Its totient is φ = 6204377088.

The previous prime is 20213525221. The next prime is 20213525239. The reversal of 20213525232 is 23252531202.

20213525232 is a `hidden beast` number, since 2 + 0 + 2 + 135 + 2 + 523 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20213525196 and 20213525205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213525239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24560373 + ... + 24561195.

It is an arithmetic number, because the mean of its divisors is an integer number (255031296).

Almost surely, 220213525232 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 20213525232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30603755520).

20213525232 is an abundant number, since it is smaller than the sum of its proper divisors (40993985808).

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

20213525232 is a wasteful number, since it uses less digits than its factorization.

20213525232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1051 counting only the distinct ones).

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

It can be divided in two parts, 2021 and 3525232, that added together give a palindrome (3527253).

The spelling of 20213525232 in words is "twenty billion, two hundred thirteen million, five hundred twenty-five thousand, two hundred thirty-two".