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212110220 = 22572415279
BaseRepresentation
bin11001010010010…
…00101110001100
3112210010022112002
430221020232030
5413300011340
633014131432
75153623100
oct1451105614
9483108462
10212110220
11a9804603
125b050b78
1334c3750a
1420255900
151394c715
hexca48b8c

212110220 has 72 divisors (see below), whose sum is σ = 530893440. Its totient is φ = 70936320.

The previous prime is 212110211. The next prime is 212110259. The reversal of 212110220 is 22011212.

It is a happy number.

212110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 37541 + ... + 42819.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2212110220 is an apocalyptic number.

212110220 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 212110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

212110220 is an abundant number, since it is smaller than the sum of its proper divisors (318783220).

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

212110220 is a wasteful number, since it uses less digits than its factorization.

212110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212110220 is about 14564.0042570716. The cubic root of 212110220 is about 596.3765131412.

Adding to 212110220 its reverse (22011212), we get a palindrome (234121432).

The spelling of 212110220 in words is "two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5279 5740 8036 10045 10558 20090 21116 26395 36953 40180 52790 73906 105580 147812 184765 216439 258671 369530 432878 517342 739060 865756 1034684 1082195 1293355 1515073 2164390 2586710 3030146 4328780 5173420 6060292 7575365 10605511 15150730 21211022 30301460 42422044 53027555 106055110 212110220