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272215220 = 225176071319
BaseRepresentation
bin10000001110011…
…010110010110100
3200222012222002012
4100032122302310
51024141341340
643002303352
76513535244
oct2016326264
9628188065
10272215220
1112a727362
12771b7b58
13445201c4
142821db24
1518d71565
hex1039acb4

272215220 has 48 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 102234624.

The previous prime is 272215219. The next prime is 272215231. The reversal of 272215220 is 22512272.

It is a super-2 number, since 2×2722152202 = 148202251999296800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205721 + ... + 207039.

It is an arithmetic number, because the mean of its divisors is an integer number (12640320).

Almost surely, 2272215220 is an apocalyptic number.

272215220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

272215220 is an abundant number, since it is smaller than the sum of its proper divisors (334520140).

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

272215220 is a wasteful number, since it uses less digits than its factorization.

272215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 272215220 is about 16498.9460269437. The cubic root of 272215220 is about 648.0932047257.

Adding to 272215220 its reverse (22512272), we get a palindrome (294727492).

The spelling of 272215220 in words is "two hundred seventy-two million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 607 1214 1319 2428 2638 3035 5276 6070 6595 10319 12140 13190 20638 22423 26380 41276 44846 51595 89692 103190 112115 206380 224230 448460 800633 1601266 3202532 4003165 8006330 13610761 16012660 27221522 54443044 68053805 136107610 272215220