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212021220 = 223559101593
BaseRepresentation
bin11001010001100…
…10111111100100
3112202221210102210
430220302333210
5413234134340
633012203420
75153102445
oct1450627744
9482853383
10212021220
11a9753754
125b009570
1334c05b58
14202312cc
1513931180
hexca32fe4

212021220 has 96 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 54937600.

The previous prime is 212021213. The next prime is 212021237. The reversal of 212021220 is 22120212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212021196 and 212021205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357244 + ... + 357836.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2212021220 is an apocalyptic number.

212021220 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 212021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305363520).

212021220 is an abundant number, since it is smaller than the sum of its proper divisors (398705820).

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

212021220 is a wasteful number, since it uses less digits than its factorization.

212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212021220 is about 14560.9484581191. The cubic root of 212021220 is about 596.2930896346.

Adding to 212021220 its reverse (22120212), we get a palindrome (234141432).

It can be divided in two parts, 21202 and 1220, that added together give a palindrome (22422).

The spelling of 212021220 in words is "two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 101 118 177 202 236 295 303 354 404 505 590 593 606 708 885 1010 1180 1186 1212 1515 1770 1779 2020 2372 2965 3030 3540 3558 5930 5959 6060 7116 8895 11860 11918 17790 17877 23836 29795 34987 35580 35754 59590 59893 69974 71508 89385 104961 119180 119786 139948 174935 178770 179679 209922 239572 299465 349870 357540 359358 419844 524805 598930 699740 718716 898395 1049610 1197860 1796790 2099220 3533687 3593580 7067374 10601061 14134748 17668435 21202122 35336870 42404244 53005305 70673740 106010610 212021220