Search a number
-
+
225720133340 = 225135031725953
BaseRepresentation
bin1101001000110111110…
…1111110011011011100
3210120121211020211112112
43102031331332123130
512144233323231330
6251405553453152
722210361322332
oct3221575763334
9716554224475
10225720133340
1187800149049
12378b52711b8
1318392ac3aa0
14acd3d63b52
155d11494795
hex348df7e6dc

225720133340 has 48 divisors (see below), whose sum is σ = 511489919808. Its totient is φ = 83177078784.

The previous prime is 225720133279. The next prime is 225720133381. The reversal of 225720133340 is 43331027522.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 225720133297 and 225720133306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732197 + ... + 993756.

It is an arithmetic number, because the mean of its divisors is an integer number (10656039996).

Almost surely, 2225720133340 is an apocalyptic number.

225720133340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225720133340 is an abundant number, since it is smaller than the sum of its proper divisors (285769786468).

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

225720133340 is a wasteful number, since it uses less digits than its factorization.

225720133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726478 (or 1726476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 225720133340 in words is "two hundred twenty-five billion, seven hundred twenty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 503 1006 2012 2515 5030 6539 10060 13078 26156 32695 65390 130780 1725953 3451906 6903812 8629765 17259530 22437389 34519060 44874778 89749556 112186945 224373890 448747780 868154359 1736308718 3472617436 4340771795 8681543590 11286006667 17363087180 22572013334 45144026668 56430033335 112860066670 225720133340