Search a number
-
+
222101223322023 = 3431183437482189
BaseRepresentation
bin110010011111111111111000…
…100001010011000110100111
31002010101200002010110221210000
4302133333320201103012213
5213102401301132301043
62104211520551432343
764532166235024503
oct6237777041230647
91063350063427700
10222101223322023
116484a666442201
1220ab08563856b3
1396c1094bb53a6
143cbba84033303
151aa25687332d3
hexc9fff88531a7

222101223322023 has 40 divisors (see below), whose sum is σ = 342486024819840. Its totient is φ = 143290033508160.

The previous prime is 222101223322019. The next prime is 222101223322031. The reversal of 222101223322023 is 320223322101222.

222101223322023 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 122 + 332 + 202 + 3 = 666.

It is not a de Polignac number, because 222101223322023 - 22 = 222101223322019 is a prime.

It is a super-2 number, since 2×2221012233220232 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101223322003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 460369213 + ... + 460851401.

It is an arithmetic number, because the mean of its divisors is an integer number (8562150620496).

Almost surely, 2222101223322023 is an apocalyptic number.

222101223322023 is a deficient number, since it is larger than the sum of its proper divisors (120384801497817).

222101223322023 is a wasteful number, since it uses less digits than its factorization.

222101223322023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665669 (or 665660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 222101223322023 its reverse (320223322101222), we get a palindrome (542324545423245).

The spelling of 222101223322023 in words is "two hundred twenty-two trillion, one hundred one billion, two hundred twenty-three million, three hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 27 31 81 93 279 837 2511 183437 482189 550311 1446567 1650933 4339701 4952799 5686547 13019103 14858397 14947859 17059641 39057309 44843577 51178923 134530731 153536769 403592193 460610307 1210776579 88451303593 265353910779 796061732337 2388185197011 2741990411383 7164555591033 8225971234149 24677913702447 74033741107341 222101223322023