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222122020010022 = 232113319337362987
BaseRepresentation
bin110010100000010011010000…
…000110010111100000100110
31002010110122202111010011111200
4302200103100012113200212
5213103221344110310042
62104225240340543330
764533533502662106
oct6240232006274046
91063418674104450
10222122020010022
116485846864a760
1220ab489b0b1b46
1396c302a653532
143cbca98061206
151aa2d843bec4c
hexca04d0197826

222122020010022 has 96 divisors (see below), whose sum is σ = 526659684130944. Its totient is φ = 67098978460800.

The previous prime is 222122020010021. The next prime is 222122020010141. The reversal of 222122020010022 is 220010020221222.

222122020010022 is a `hidden beast` number, since 2 + 221 + 220 + 200 + 1 + 0 + 0 + 22 = 666.

It is a super-2 number, since 2×2221220200100222 (a number of 29 digits) 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 = 222122020009977 and 222122020010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122020010021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611746813 + ... + 612109799.

It is an arithmetic number, because the mean of its divisors is an integer number (5486038376364).

Almost surely, 2222122020010022 is an apocalyptic number.

222122020010022 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 222122020010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263329842065472).

222122020010022 is an abundant number, since it is smaller than the sum of its proper divisors (304537664120922).

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

222122020010022 is a wasteful number, since it uses less digits than its factorization.

222122020010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372674 (or 372671 counting only the distinct ones).

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

Adding to 222122020010022 its reverse (220010020221222), we get a palindrome (442132040231244).

The spelling of 222122020010022 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, twenty million, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 993 1986 2979 3641 5958 7282 9337 10923 18674 21846 28011 32769 56022 65538 84033 102707 168066 205414 308121 362987 616242 725974 924363 1088961 1848726 2177922 3090547 3266883 3992857 6181094 6533766 7985714 9271641 11978571 18543282 23957142 27814923 33996017 35935713 55629846 67992034 71871426 101988051 120148697 203976102 240297394 305964153 360446091 611928306 720892182 1081338273 1321635667 2162676546 2643271334 3389209619 3964907001 6778419238 7929814002 10167628857 11894721003 20335257714 23789442006 30502886571 37281305809 61005773142 74562611618 111843917427 223687834854 335531752281 671063504562 1121828383889 2243656767778 3365485151667 6730970303334 10096455455001 12340112222779 20192910910002 24680224445558 37020336668337 74040673336674 111061010005011 222122020010022