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213222300 = 223524391619
BaseRepresentation
bin11001011010110…
…00001110011100
3112212012211000020
430231120032130
5414041103200
633054032140
75166234234
oct1455301634
9485184006
10213222300
11aa3a4085
125b4a8650
1335236755
1420464cc4
1513abbea0
hexcb5839c

213222300 has 72 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 56694720.

The previous prime is 213222293. The next prime is 213222311. The reversal of 213222300 is 3222312.

213222300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213222300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130891 + ... + 132509.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2213222300 is an apocalyptic number.

213222300 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 213222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

213222300 is an abundant number, since it is smaller than the sum of its proper divisors (405488100).

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

213222300 is a wasteful number, since it uses less digits than its factorization.

213222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213222300 is about 14602.1334057733. The cubic root of 213222300 is about 597.4169512789.

Adding to 213222300 its reverse (3222312), we get a palindrome (216444612).

The spelling of 213222300 in words is "two hundred thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 878 1317 1619 1756 2195 2634 3238 4390 4857 5268 6476 6585 8095 8780 9714 10975 13170 16190 19428 21950 24285 26340 32380 32925 40475 43900 48570 65850 80950 97140 121425 131700 161900 242850 485700 710741 1421482 2132223 2842964 3553705 4264446 7107410 8528892 10661115 14214820 17768525 21322230 35537050 42644460 53305575 71074100 106611150 213222300