Search a number
-
+
211201221222 = 23261732634943
BaseRepresentation
bin1100010010110010010…
…0101110001001100110
3202012010222100200100200
43010230210232021212
511430020003034342
6241005143051330
721154522521435
oct3045444561146
9665128320320
10211201221222
118162a646522
1234b22a40b46
1316bbab3a924
14a3179b111c
155761a0e94c
hex312c92e266

211201221222 has 48 divisors (see below), whose sum is σ = 471475799808. Its totient is φ = 68297696640.

The previous prime is 211201221221. The next prime is 211201221263. The reversal of 211201221222 is 222122102112.

It is a happy number.

211201221222 is a `hidden beast` number, since 21 + 1 + 201 + 221 + 222 = 666.

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 = 211201221195 and 211201221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237318 + ... + 1397625.

It is an arithmetic number, because the mean of its divisors is an integer number (9822412496).

Almost surely, 2211201221222 is an apocalyptic number.

211201221222 is an abundant number, since it is smaller than the sum of its proper divisors (260274578586).

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

211201221222 is a wasteful number, since it uses less digits than its factorization.

211201221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635085 (or 2635082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211201221222 its reverse (222122102112), we get a palindrome (433323323334).

The spelling of 211201221222 in words is "two hundred eleven billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 73 122 146 183 219 366 438 549 657 1098 1314 4453 8906 13359 26718 40077 80154 2634943 5269886 7904829 15809658 23714487 47428974 160731523 192350839 321463046 384701678 482194569 577052517 964389138 1154105034 1446583707 1731157551 2893167414 3462315102 11733401179 23466802358 35200203537 70400407074 105600610611 211201221222