Base | Representation |
---|---|
bin | 110010100001100111000100… |
… | …100101101010010010010100 |
3 | 1002010210021001211020100000000 |
4 | 302201213010211222102110 |
5 | 213111210204411400040 |
6 | 2104334443202451300 |
7 | 64543201015323045 |
oct | 6241470445522224 |
9 | 1063707054210000 |
10 | 222212021200020 |
11 | 64892652a03915 |
12 | 20b0a218363b30 |
13 | 96cb6717a1347 |
14 | 3cc319518c8cc |
15 | 1aa53a08d4130 |
hex | ca19c496a494 |
222212021200020 has 216 divisors, whose sum is σ = 704629898973000. Its totient is φ = 58858838915328.
The previous prime is 222212021199977. The next prime is 222212021200153. The reversal of 222212021200020 is 20002120212222.
222212021200020 is a `hidden beast` number, since 22 + 221 + 202 + 1 + 200 + 0 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5377148801424 + 216834872398596 = 2318868^2 + 14725314^2 .
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 = 222212021199966 and 222212021200002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13869126 + ... + 25234434.
Almost surely, 2222212021200020 is an apocalyptic number.
222212021200020 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 222212021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352314949486500).
222212021200020 is an abundant number, since it is smaller than the sum of its proper divisors (482417877772980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222212021200020 is a wasteful number, since it uses less digits than its factorization.
222212021200020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11365491 (or 11365468 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 222212021200020 its reverse (20002120212222), we get a palindrome (242214141412242).
The spelling of 222212021200020 in words is "two hundred twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred thousand, twenty".
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