Search a number
-
+
220221210112002 = 232114127127520339
BaseRepresentation
bin110010000100101000111111…
…000000000011000000000010
31001212201221102202221120120100
4302010220333000003000002
5212331101014242041002
62100212121032023230
764246312611302601
oct6204507700030002
91055657382846510
10220221210112002
1164195321a53670
1220848419831b16
1395b5a03b916c8
143c54a98c4ba38
151a6d6d449c11c
hexc84a3f003002

220221210112002 has 48 divisors (see below), whose sum is σ = 533218539803040. Its totient is φ = 65106048811200.

The previous prime is 220221210111943. The next prime is 220221210112031. The reversal of 220221210112002 is 200211012122022.

It is a happy number.

220221210112002 is a `hidden beast` number, since 2 + 20 + 221 + 210 + 11 + 200 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13563752052 + ... + 13563768287.

It is an arithmetic number, because the mean of its divisors is an integer number (11108719579230).

Almost surely, 2220221210112002 is an apocalyptic number.

220221210112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220221210112002 is an abundant number, since it is smaller than the sum of its proper divisors (312997329691038).

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

220221210112002 is a wasteful number, since it uses less digits than its factorization.

220221210112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27127520399 (or 27127520396 counting only the distinct ones).

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

Adding to 220221210112002 its reverse (200211012122022), we get a palindrome (420432222234024).

The spelling of 220221210112002 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 27127520339 54255040678 81382561017 162765122034 244147683051 298402723729 488295366102 596805447458 895208171187 1112228333899 1790416342374 2224456667798 2685624513561 3336685001697 5371249027122 6673370003394 10010055005091 12234511672889 20020110010182 24469023345778 36703535018667 73407070037334 110110605056001 220221210112002