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2222022112002 = 2327112955282433
BaseRepresentation
bin100000010101011010110…
…101101011001100000010
321212102102112121201220100
4200111122311223030002
5242401200130041002
64420441033223230
7316351531214160
oct40253265531402
97772375551810
102222022112002
11787399610750
122ba786861b16
131316c7178044
147979162a230
153cbee99c11c
hex2055ad6b302

2222022112002 has 96 divisors (see below), whose sum is σ = 6209322986880. Its totient is φ = 557246914560.

The previous prime is 2222022111979. The next prime is 2222022112007. The reversal of 2222022112002 is 2002112202222.

2222022112002 is a `hidden beast` number, since 22 + 220 + 221 + 1 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2222022112007) 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, 27601023 + ... + 27681410.

It is an arithmetic number, because the mean of its divisors is an integer number (64680447780).

Almost surely, 22222022112002 is an apocalyptic number.

2222022112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2222022112002 is an abundant number, since it is smaller than the sum of its proper divisors (3987300874878).

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

2222022112002 is a wasteful number, since it uses less digits than its factorization.

2222022112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55282488 (or 55282485 counting only the distinct ones).

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

Adding to 2222022112002 its reverse (2002112202222), we get a palindrome (4224134314224).

The spelling of 2222022112002 in words is "two trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3654 4466 5742 6699 13398 20097 40194 55282433 110564866 165847299 331694598 386977031 497541897 608106763 773954062 995083794 1160931093 1216213526 1603190557 1824320289 2321862186 3206381114 3482793279 3648640578 4256747341 4809571671 5472960867 6965586558 8513494682 9619143342 10945921734 11222333899 12770242023 14428715013 17635096127 22444667798 25540484046 28857430026 33667001697 35270192254 38310726069 52905288381 67334003394 76621452138 101001005091 105810576762 123445672889 158715865143 202002010182 246891345778 317431730286 370337018667 740674037334 1111011056001 2222022112002