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212102022 = 23115036389
BaseRepresentation
bin11001010010001…
…10101110000110
3112210002220021110
430221012232012
5413244231042
633014025450
75153560146
oct1451065606
9483086243
10212102022
11a97a9430
125b048286
1334c33872
1420252926
151394a09c
hexca46b86

212102022 has 32 divisors (see below), whose sum is σ = 463760640. Its totient is φ = 64135520.

The previous prime is 212102003. The next prime is 212102039. The reversal of 212102022 is 220201212.

212102022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212101989 and 212102007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30004 + ... + 36392.

It is an arithmetic number, because the mean of its divisors is an integer number (14492520).

Almost surely, 2212102022 is an apocalyptic number.

212102022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212102022 is an abundant number, since it is smaller than the sum of its proper divisors (251658618).

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

212102022 is a wasteful number, since it uses less digits than its factorization.

212102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908.

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

The square root of 212102022 is about 14563.7228070298. The cubic root of 212102022 is about 596.3688297811.

Adding to 212102022 its reverse (220201212), we get a palindrome (432303234).

It can be divided in two parts, 21210 and 2022, that added together give a palindrome (23232).

The spelling of 212102022 in words is "two hundred twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 503 1006 1509 3018 5533 6389 11066 12778 16599 19167 33198 38334 70279 140558 210837 421674 3213667 6427334 9641001 19282002 35350337 70700674 106051011 212102022