Search a number
-
+
22431000012 = 22319892234957
BaseRepresentation
bin10100111000111111…
…011110010111001100
32010220020212212100020
4110320333132113030
5331414314000022
614145450102140
71422601232331
oct247077362714
963806785306
1022431000012
119570795343
12442011a950
132166228795
14112b0d4988
158b43b735c
hex538fde5cc

22431000012 has 96 divisors (see below), whose sum is σ = 55973836800. Its totient is φ = 6971069952.

The previous prime is 22430999977. The next prime is 22431000017. The reversal of 22431000012 is 21000013422.

It is a junction number, because it is equal to n+sod(n) for n = 22430999955 and 22431000000.

It is not an unprimeable number, because it can be changed into a prime (22431000017) 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, 4522638 + ... + 4527594.

It is an arithmetic number, because the mean of its divisors is an integer number (583060800).

Almost surely, 222431000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22431000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27986918400).

22431000012 is an abundant number, since it is smaller than the sum of its proper divisors (33542836788).

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

22431000012 is a wasteful number, since it uses less digits than its factorization.

22431000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22431000012 its reverse (21000013422), we get a palindrome (43431013434).

The spelling of 22431000012 in words is "twenty-two billion, four hundred thirty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 223 228 267 356 446 534 669 892 1068 1338 1691 2676 3382 4237 4957 5073 6764 8474 9914 10146 12711 14871 16948 19828 19847 20292 25422 29742 39694 50844 59484 59541 79388 94183 119082 188366 238164 282549 376732 377093 441173 565098 754186 882346 1105411 1130196 1131279 1323519 1508372 1764692 2210822 2262558 2647038 3316233 4421644 4525116 5294076 6632466 8382287 13264932 16764574 21002809 25146861 33529148 42005618 50293722 63008427 84011236 98381579 100587444 126016854 196763158 252033708 295144737 393526316 590289474 1180578948 1869250001 3738500002 5607750003 7477000004 11215500006 22431000012