Search a number
-
+
222431242134222 = 232112349129254189
BaseRepresentation
bin110010100100110011001111…
…001011001010001011001110
31002011120012220201002122101100
4302210303033023022023032
5213123303140441243342
62105023300232123530
764565061351450102
oct6244631713121316
91064505821078340
10222431242134222
1164967618461400
1220b447b8b365a6
139716239c64964
143ccda2dcb9902
151aaae314d4e4c
hexca4ccf2ca2ce

222431242134222 has 72 divisors (see below), whose sum is σ = 529881260486760. Its totient is φ = 67384096639200.

The previous prime is 222431242134197. The next prime is 222431242134251.

It is a happy number.

222431242134222 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 3 + 1 + 2 + 421 + 3 + 4 + 222 = 666.

222431242134222 is nontrivially palindromic in base 10.

222431242134222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7023697 + ... + 22230492.

It is an arithmetic number, because the mean of its divisors is an integer number (7359461951205).

Almost surely, 2222431242134222 is an apocalyptic number.

222431242134222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222431242134222 is an abundant number, since it is smaller than the sum of its proper divisors (307450018352538).

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

222431242134222 is a wasteful number, since it uses less digits than its factorization.

222431242134222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257710 (or 29257696 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 222431242134222 in words is "two hundred twenty-two trillion, four hundred thirty-one billion, two hundred forty-two million, one hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3491 6982 10473 20946 31419 38401 62838 76802 115203 230406 345609 422411 691218 844822 1267233 2534466 3801699 7603398 29254189 58508378 87762567 175525134 263287701 321796079 526575402 643592158 965388237 1930776474 2896164711 3539756869 5792329422 7079513738 10619270607 21238541214 31857811821 63715623642 102126373799 204252747598 306379121397 612758242794 919137364191 1123390111789 1838274728382 2246780223578 3370170335367 6740340670734 10110511006101 12357291229679 20221022012202 24714582459358 37071873689037 74143747378074 111215621067111 222431242134222