Search a number
-
+
212432404231224 = 2332109100926826907
BaseRepresentation
bin110000010011010011000101…
…111111100011010000111000
31000212011100011111120000221200
4300103103011333203100320
5210320443030440344344
62031450033234534200
762513510003545422
oct6023230577432070
91025140144500850
10212432404231224
11617620930a6031
121b9aa9a6437360
13916c39c7bc6c8
143a65ad7251812
151985cc35e2069
hexc134c5fe3438

212432404231224 has 96 divisors (see below), whose sum is σ = 581191548366000. Its totient is φ = 70091623074816.

The previous prime is 212432404231181. The next prime is 212432404231231. The reversal of 212432404231224 is 422132404234212.

212432404231224 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 3 + 2 + 4 + 0 + 423 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5494822 + ... + 21332085.

Almost surely, 2212432404231224 is an apocalyptic number.

212432404231224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212432404231224 is an abundant number, since it is smaller than the sum of its proper divisors (368759144134776).

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

212432404231224 is a wasteful number, since it uses less digits than its factorization.

212432404231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26828037 (or 26828030 counting only the distinct ones).

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

Adding to 212432404231224 its reverse (422132404234212), we get a palindrome (634564808465436).

The spelling of 212432404231224 in words is "two hundred twelve trillion, four hundred thirty-two billion, four hundred four million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1009 1308 1962 2018 2616 3027 3924 4036 6054 7848 8072 9081 12108 18162 24216 36324 72648 109981 219962 329943 439924 659886 879848 989829 1319772 1979658 2639544 3959316 7918632 26826907 53653814 80480721 107307628 160961442 214615256 241442163 321922884 482884326 643845768 965768652 1931537304 2924132863 5848265726 8772398589 11696531452 17544797178 23393062904 26317195767 27068349163 35089594356 52634391534 54136698326 70179188712 81205047489 105268783068 108273396652 162410094978 210537566136 216546793304 243615142467 324820189956 487230284934 649640379912 974460569868 1948921139736 2950450058767 5900900117534 8851350176301 11801800235068 17702700352602 23603600470136 26554050528903 35405400705204 53108101057806 70810801410408 106216202115612 212432404231224