Search a number
-
+
213222020 = 225118311677
BaseRepresentation
bin11001011010110…
…00001010000100
3112212012210121212
430231120022010
5414041101040
633054030552
75166233354
oct1455301204
9485183555
10213222020
11aa3a3950
125b4a8458
133523659b
1420464b64
1513abbd65
hexcb58284

213222020 has 48 divisors (see below), whose sum is σ = 494399808. Its totient is φ = 76594560.

The previous prime is 213222013. The next prime is 213222049. The reversal of 213222020 is 20222312.

It is a junction number, because it is equal to n+sod(n) for n = 213221986 and 213222004.

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, 12422 + ... + 24098.

It is an arithmetic number, because the mean of its divisors is an integer number (10299996).

Almost surely, 2213222020 is an apocalyptic number.

213222020 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 213222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247199904).

213222020 is an abundant number, since it is smaller than the sum of its proper divisors (281177788).

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

213222020 is a wasteful number, since it uses less digits than its factorization.

213222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 213222020 is about 14602.1238181300. The cubic root of 213222020 is about 597.4166897728.

Adding to 213222020 its reverse (20222312), we get a palindrome (233444332).

The spelling of 213222020 in words is "two hundred thirteen million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 11677 18260 23354 46708 58385 116770 128447 233540 256894 513788 642235 969191 1284470 1938382 2568940 3876764 4845955 9691910 10661101 19383820 21322202 42644404 53305505 106611010 213222020