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222113100200200 = 23521129178227281
BaseRepresentation
bin110010100000001010111100…
…011011111111100100001000
31002010102210201211220212201221
4302200022330123333210020
5213103100112122401300
62104221203302251424
764533066452565466
oct6240127433774410
91063383654825657
10222113100200200
116485470064a600
1220ab300ba26b74
1396c223869c061
143cbc48d561836
151aa2a1128331a
hexca02bc6ff908

222113100200200 has 72 divisors (see below), whose sum is σ = 567627466255290. Its totient is φ = 80768400064000.

The previous prime is 222113100200197. The next prime is 222113100200203. The reversal of 222113100200200 is 2002001311222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222113100200197) and next prime (222113100200203).

It can be written as a sum of positive squares in 3 ways, for example, as 187106778975204 + 35006321224996 = 13678698^2 + 5916614^2 .

It is a super-3 number, since 3×2221131002002003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (222113100200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4589089441 + ... + 4589137840.

Almost surely, 2222113100200200 is an apocalyptic number.

222113100200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222113100200200 is an abundant number, since it is smaller than the sum of its proper divisors (345514366055090).

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

222113100200200 is a wasteful number, since it uses less digits than its factorization.

222113100200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178227319 (or 9178227299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222113100200200 its reverse (2002001311222), we get a palindrome (224115101511422).

The spelling of 222113100200200 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 9178227281 18356454562 36712909124 45891136405 73425818248 91782272810 100960500091 183564545620 201921000182 229455682025 367129091240 403842000364 458911364050 504802500455 807684000728 917822728100 1009605000910 1110565501001 1835645456200 2019210001820 2221131002002 2524012502275 4038420003640 4442262004004 5048025004550 5552827505005 8884524008008 10096050009100 11105655010010 20192100018200 22211310020020 27764137525025 44422620040040 55528275050050 111056550100100 222113100200200