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223075342401201 = 3323452937931017
BaseRepresentation
bin110010101110001011000110…
…100010101011111010110001
31002020211210110011101101021000
4302232023012202223322301
5213214331300123314301
62110235221512152213
764662442640416053
oct6256130642537261
91066753404341230
10223075342401201
11650957a3250234
12210295b4998669
139761bb72a12a4
143d12c931018d3
151abca7ccb8786
hexcae2c68abeb1

223075342401201 has 32 divisors (see below), whose sum is σ = 344858428120320. Its totient is φ = 142247784362112.

The previous prime is 223075342401167. The next prime is 223075342401251. The reversal of 223075342401201 is 102104243570322.

223075342401201 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 5 + 3 + 42 + 401 + 201 = 666.

It is not a de Polignac number, because 223075342401201 - 217 = 223075342270129 is a prime.

It is a super-3 number, since 3×2230753424012013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223075342401251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24161445 + ... + 32092461.

It is an arithmetic number, because the mean of its divisors is an integer number (10776825878760).

Almost surely, 2223075342401201 is an apocalyptic number.

It is an amenable number.

223075342401201 is a deficient number, since it is larger than the sum of its proper divisors (121783085719119).

223075342401201 is a wasteful number, since it uses less digits than its factorization.

223075342401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976342 (or 7976336 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 223075342401201 its reverse (102104243570322), we get a palindrome (325179585971523).

The spelling of 223075342401201 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred forty-two million, four hundred one thousand, two hundred one".

Divisors: 1 3 9 23 27 69 207 621 45293 135879 407637 1041739 1222911 3125217 7931017 9375651 23793051 28126953 71379153 182413391 214137459 547240173 1641720519 4925161557 359219552981 1077658658943 3232975976829 8262049718563 9698927930487 24786149155689 74358447467067 223075342401201