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211214322 = 232113972687
BaseRepresentation
bin11001001011011…
…01111111110010
3112201102210120200
430211231333302
5413032324242
632543020030
75143202124
oct1445557762
9481383520
10211214322
11a92524a0
125a89a616
13349b27b7
14200a1214
151382204c
hexc96dff2

211214322 has 48 divisors (see below), whose sum is σ = 500677632. Its totient is φ = 63819360.

The previous prime is 211214291. The next prime is 211214357. The reversal of 211214322 is 223412112.

It is a happy number.

211214322 is a `hidden beast` number, since 211 + 21 + 432 + 2 = 666.

211214322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112143222 = 89222979635839368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211214295 and 211214304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77263 + ... + 79949.

It is an arithmetic number, because the mean of its divisors is an integer number (10430784).

Almost surely, 2211214322 is an apocalyptic number.

211214322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211214322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250338816).

211214322 is an abundant number, since it is smaller than the sum of its proper divisors (289463310).

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

211214322 is a wasteful number, since it uses less digits than its factorization.

211214322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3100 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 211214322 is about 14533.2144414097. The cubic root of 211214322 is about 595.5356821608.

Adding to 211214322 its reverse (223412112), we get a palindrome (434626434).

The spelling of 211214322 in words is "two hundred eleven million, two hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 397 794 1191 2382 2687 3573 4367 5374 7146 8061 8734 13101 16122 24183 26202 29557 39303 48366 59114 78606 88671 177342 266013 532026 1066739 2133478 3200217 6400434 9600651 11734129 19201302 23468258 35202387 70404774 105607161 211214322