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212212222020 = 223253724773251
BaseRepresentation
bin1100010110100011010…
…1011000100001000100
3202021202102201211201200
43011220311120201010
511434102312101040
6241253340222500
721221550060561
oct3055065304104
9667672654650
10212212222020
1181aa92a3377
123516553aa30
131701c42a056
14a3b1d83868
1557c0665630
hex3168d58844

212212222020 has 432 divisors, whose sum is σ = 687638585088. Its totient is φ = 52939008000.

The previous prime is 212212222007. The next prime is 212212222043. The reversal of 212212222020 is 20222212212.

212212222020 is a `hidden beast` number, since 21 + 221 + 222 + 202 + 0 = 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 = 212212221984 and 212212222002.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 845466895 + ... + 845467145.

It is an arithmetic number, because the mean of its divisors is an integer number (1591755984).

Almost surely, 2212212222020 is an apocalyptic number.

212212222020 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 212212222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343819292544).

212212222020 is an abundant number, since it is smaller than the sum of its proper divisors (475426363068).

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

212212222020 is a wasteful number, since it uses less digits than its factorization.

212212222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212212222020 its reverse (20222212212), we get a palindrome (232434434232).

The spelling of 212212222020 in words is "two hundred twelve billion, two hundred twelve million, two hundred twenty-two thousand, twenty".