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525230020 = 225722918481
BaseRepresentation
bin11111010011100…
…101111111000100
31100121022110010201
4133103211333010
52033424330040
6124041300244
716005244600
oct3723457704
91317273121
10525230020
1124a52a0a7
12127a94684
1384a79bc3
144da82500
153119da9a
hex1f4e5fc4

525230020 has 72 divisors (see below), whose sum is σ = 1327377240. Its totient is φ = 173859840.

The previous prime is 525230003. The next prime is 525230021. The reversal of 525230020 is 20032525.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 353515204 = 13104^2 + 18802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 525230020.

It is not an unprimeable number, because it can be changed into a prime (525230021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19180 + ... + 37660.

It is an arithmetic number, because the mean of its divisors is an integer number (18435795).

Almost surely, 2525230020 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 525230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663688620).

525230020 is an abundant number, since it is smaller than the sum of its proper divisors (802147220).

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

525230020 is a wasteful number, since it uses less digits than its factorization.

525230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18533 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 525230020 is about 22917.8973730140. The cubic root of 525230020 is about 806.8321219552.

Adding to 525230020 its reverse (20032525), we get a palindrome (545262545).

The spelling of 525230020 in words is "five hundred twenty-five million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 18481 28420 36962 73924 92405 129367 184810 258734 369620 517468 535949 646835 905569 1071898 1293670 1811138 2143796 2587340 2679745 3622276 3751643 4527845 5359490 7503286 9055690 10718980 15006572 18111380 18758215 26261501 37516430 52523002 75032860 105046004 131307505 262615010 525230020