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212260420 = 22570914969
BaseRepresentation
bin11001010011011…
…01011001000100
3112210101221120001
430221231121010
5413314313140
633021251044
75155120021
oct1451553104
9483357501
10212260420
11a98a7439
125b103a84
1334c8a9a8
1420294548
151397be9a
hexca6d644

212260420 has 24 divisors (see below), whose sum is σ = 446405400. Its totient is φ = 84778752.

The previous prime is 212260397. The next prime is 212260469. The reversal of 212260420 is 24062212.

It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 198302724 = 3736^2 + 14082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6696 + ... + 21664.

It is an arithmetic number, because the mean of its divisors is an integer number (18600225).

Almost surely, 2212260420 is an apocalyptic number.

212260420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212260420 is an abundant number, since it is smaller than the sum of its proper divisors (234144980).

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

212260420 is a wasteful number, since it uses less digits than its factorization.

212260420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15687 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 212260420 is about 14569.1598934187. The cubic root of 212260420 is about 596.5172491181.

The spelling of 212260420 in words is "two hundred twelve million, two hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7090 14180 14969 29938 59876 74845 149690 299380 10613021 21226042 42452084 53065105 106130210 212260420