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23830950222 = 236193532437
BaseRepresentation
bin10110001100011011…
…110111000101001110
32021111211010201000000
4112030123313011032
5342301210401342
614540415545130
71502360506662
oct261433670516
967454121000
1023830950222
11a119a4a692
124750b2b1a6
13232a28a6a1
141220dd28a2
1594724c44c
hex58c6f714e

23830950222 has 112 divisors (see below), whose sum is σ = 56598950160. Its totient is φ = 7501165056.

The previous prime is 23830950211. The next prime is 23830950307. The reversal of 23830950222 is 22205903832.

23830950222 is a `hidden beast` number, since 2 + 383 + 0 + 9 + 50 + 222 = 666.

23830950222 is digitally balanced in base 5, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9777588 + ... + 9780024.

Almost surely, 223830950222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23830950222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28299475080).

23830950222 is an abundant number, since it is smaller than the sum of its proper divisors (32767999938).

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

23830950222 is a wasteful number, since it uses less digits than its factorization.

23830950222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23830950222 in words is "twenty-three billion, eight hundred thirty million, nine hundred fifty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 353 486 513 706 729 1026 1059 1458 1539 2118 2437 3078 3177 4617 4874 6354 6707 7311 9234 9531 13414 13851 14622 19062 20121 21933 27702 28593 40242 43866 46303 57186 60363 65799 85779 92606 120726 131598 138909 171558 181089 197397 257337 277818 362178 394794 416727 514674 543267 592191 833454 860261 1086534 1184382 1250181 1629801 1720522 1776573 2500362 2580783 3259602 3553146 3750543 4889403 5161566 7501086 7742349 9778806 11251629 15484698 16344959 22503258 23227047 32689918 33754887 46454094 49034877 67509774 69681141 98069754 139362282 147104631 209043423 294209262 418086846 441313893 627130269 882627786 1254260538 1323941679 2647883358 3971825037 7943650074 11915475111 23830950222