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212213220 = 223522715581
BaseRepresentation
bin11001010011000…
…01110111100100
3112210022112210220
430221201313210
5413311310340
633020244340
75154532302
oct1451416744
9483275726
10212213220
11a9874a2a
125b0a06b0
1334c7236b
1420281272
151396ced0
hexca61de4

212213220 has 48 divisors (see below), whose sum is σ = 596852928. Its totient is φ = 56337280.

The previous prime is 212213189. The next prime is 212213231. The reversal of 212213220 is 22312212.

It is a happy number.

212213220 is digitally balanced in base 2, because in such base 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 212213220.

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, 5830 + ... + 21410.

It is an arithmetic number, because the mean of its divisors is an integer number (12434436).

Almost surely, 2212213220 is an apocalyptic number.

212213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213220 is an abundant number, since it is smaller than the sum of its proper divisors (384639708).

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

212213220 is a wasteful number, since it uses less digits than its factorization.

212213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212213220 is about 14567.5399433123. The cubic root of 212213220 is about 596.4730303209.

Adding to 212213220 its reverse (22312212), we get a palindrome (234525432).

The spelling of 212213220 in words is "two hundred twelve million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 227 454 681 908 1135 1362 2270 2724 3405 4540 6810 13620 15581 31162 46743 62324 77905 93486 155810 186972 233715 311620 467430 934860 3536887 7073774 10610661 14147548 17684435 21221322 35368870 42442644 53053305 70737740 106106610 212213220