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220221211122 = 232111112228339
BaseRepresentation
bin1100110100011000110…
…1010000000111110010
3210001102121001122100200
43031012031100013302
512102003112223442
6245100200500030
721624200260203
oct3150615200762
9701377048320
10220221211122
1185439150430
123681b77a616
13179c7799863
14a93190b5aa
155add83934c
hex33463501f2

220221211122 has 24 divisors (see below), whose sum is σ = 520522863120. Its totient is φ = 66733700280.

The previous prime is 220221211117. The next prime is 220221211139. The reversal of 220221211122 is 221112122022.

It is a happy number.

220221211122 is a `hidden beast` number, since 220 + 221 + 211 + 12 + 2 = 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 = 220221211095 and 220221211104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 556113972 + ... + 556114367.

It is an arithmetic number, because the mean of its divisors is an integer number (21688452630).

Almost surely, 2220221211122 is an apocalyptic number.

220221211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220221211122 is an abundant number, since it is smaller than the sum of its proper divisors (300301651998).

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

220221211122 is a wasteful number, since it uses less digits than its factorization.

220221211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112228358 (or 1112228355 counting only the distinct ones).

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

Adding to 220221211122 its reverse (221112122022), we get a palindrome (441333333144).

The spelling of 220221211122 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1112228339 2224456678 3336685017 6673370034 10010055051 12234511729 20020110102 24469023458 36703535187 73407070374 110110605561 220221211122