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252224040 = 23352101867
BaseRepresentation
bin11110000100010…
…10001000101000
3122120121022100010
433002022020220
51004032132130
641010011520
76151604025
oct1702121050
9576538303
10252224040
1111a412722
1270576ba0
1340340ac3
14256d854c
15172230b0
hexf08a228

252224040 has 32 divisors (see below), whose sum is σ = 756672480. Its totient is φ = 67259712.

The previous prime is 252224039. The next prime is 252224057. The reversal of 252224040 is 40422252.

252224040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252223998 and 252224016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050814 + ... + 1051053.

It is an arithmetic number, because the mean of its divisors is an integer number (23646015).

Almost surely, 2252224040 is an apocalyptic number.

252224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252224040 is an abundant number, since it is smaller than the sum of its proper divisors (504448440).

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

252224040 is a wasteful number, since it uses less digits than its factorization.

252224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101881 (or 2101877 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 252224040 is about 15881.5628953828. The cubic root of 252224040 is about 631.8230891363.

Adding to 252224040 its reverse (40422252), we get a palindrome (292646292).

It can be divided in two parts, 2522 and 24040, that added together give a palindrome (26562).

The spelling of 252224040 in words is "two hundred fifty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2101867 4203734 6305601 8407468 10509335 12611202 16814936 21018670 25222404 31528005 42037340 50444808 63056010 84074680 126112020 252224040