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212040220 = 22572365851
BaseRepresentation
bin11001010001101…
…11101000011100
3112202222202111111
430220313220130
5413240241340
633012431404
75153212030
oct1450675034
9482882444
10212040220
11a9766a57
125b018564
1334c116b2
14202381c0
1513936aea
hexca37a1c

212040220 has 48 divisors (see below), whose sum is σ = 531030528. Its totient is φ = 69537600.

The previous prime is 212040203. The next prime is 212040221. The reversal of 212040220 is 22040212.

212040220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120402202 = 89922109795296800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212040220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212040221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29706 + ... + 36145.

It is an arithmetic number, because the mean of its divisors is an integer number (11063136).

Almost surely, 2212040220 is an apocalyptic number.

212040220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212040220 is an abundant number, since it is smaller than the sum of its proper divisors (318990308).

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

212040220 is a wasteful number, since it uses less digits than its factorization.

212040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65890 (or 65888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 212040220 is about 14561.6008735304. The cubic root of 212040220 is about 596.3109011069.

Adding to 212040220 its reverse (22040212), we get a palindrome (234080432).

The spelling of 212040220 in words is "two hundred twelve million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 65851 131702 263404 329255 460957 658510 921914 1317020 1514573 1843828 2304785 3029146 4609570 6058292 7572865 9219140 10602011 15145730 21204022 30291460 42408044 53010055 106020110 212040220