Search a number
-
+
272137212 = 223325110039
BaseRepresentation
bin10000001110000…
…111101111111100
3200222002000002000
4100032013233330
51024131342322
643000502300
76513061644
oct2016075774
9628060060
10272137212
1112a683796
127717a990
13444c3849
14281dd524
1518d583ac
hex10387bfc

272137212 has 48 divisors (see below), whose sum is σ = 708422400. Its totient is φ = 90342000.

The previous prime is 272137193. The next prime is 272137267. The reversal of 272137212 is 212731272.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22089 + ... + 32127.

It is an arithmetic number, because the mean of its divisors is an integer number (14758800).

Almost surely, 2272137212 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 272137212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354211200).

272137212 is an abundant number, since it is smaller than the sum of its proper divisors (436285188).

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

272137212 is a wasteful number, since it uses less digits than its factorization.

272137212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10295 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 272137212 is about 16496.5818277606. The cubic root of 272137212 is about 648.0312913559.

Adding to 272137212 its reverse (212731272), we get a palindrome (484868484).

The spelling of 272137212 in words is "two hundred seventy-two million, one hundred thirty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 2259 3012 4518 6777 9036 10039 13554 20078 27108 30117 40156 60234 90351 120468 180702 271053 361404 542106 1084212 2519789 5039578 7559367 10079156 15118734 22678101 30237468 45356202 68034303 90712404 136068606 272137212