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212010220 = 22583127717
BaseRepresentation
bin11001010001100…
…00010011101100
3112202221020100101
430220300103230
5413233311340
633012040444
75153025412
oct1450602354
9482836311
10212010220
11a9746464
125b003124
1334c00b46
142022b2b2
151392cc9a
hexca304ec

212010220 has 24 divisors (see below), whose sum is σ = 450589104. Its totient is φ = 83781696.

The previous prime is 212010217. The next prime is 212010233. The reversal of 212010220 is 22010212.

212010220 is digitally balanced in base 3, 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 212010197 and 212010206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62199 + ... + 65518.

It is an arithmetic number, because the mean of its divisors is an integer number (18774546).

Almost surely, 2212010220 is an apocalyptic number.

212010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010220 is an abundant number, since it is smaller than the sum of its proper divisors (238578884).

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

212010220 is a wasteful number, since it uses less digits than its factorization.

212010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127809 (or 127807 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212010220 is about 14560.5707305723. The cubic root of 212010220 is about 596.2827772431.

Adding to 212010220 its reverse (22010212), we get a palindrome (234020432).

The spelling of 212010220 in words is "two hundred twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 127717 255434 510868 638585 1277170 2554340 10600511 21201022 42402044 53002555 106005110 212010220