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272217220 = 2251110112251
BaseRepresentation
bin10000001110011…
…011010010000100
3200222020001211021
4100032123102010
51024141422340
643002320524
76513544132
oct2016332204
9628201737
10272217220
1112a728910
12771b9144
13445210a2
1428220752
1518d71e4a
hex1039b484

272217220 has 48 divisors (see below), whose sum is σ = 629850816. Its totient is φ = 98000000.

The previous prime is 272217191. The next prime is 272217241. The reversal of 272217220 is 22712272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16095 + ... + 28345.

It is an arithmetic number, because the mean of its divisors is an integer number (13121892).

Almost surely, 2272217220 is an apocalyptic number.

272217220 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 272217220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314925408).

272217220 is an abundant number, since it is smaller than the sum of its proper divisors (357633596).

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

272217220 is a wasteful number, since it uses less digits than its factorization.

272217220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372 (or 12370 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 272217220 is about 16499.0066367645. The cubic root of 272217220 is about 648.0947919297.

Adding to 272217220 its reverse (22712272), we get a palindrome (294929492).

The spelling of 272217220 in words is "two hundred seventy-two million, two hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 12251 22220 24502 49004 61255 122510 134761 245020 269522 539044 673805 1237351 1347610 2474702 2695220 4949404 6186755 12373510 13610861 24747020 27221722 54443444 68054305 136108610 272217220