Search a number
-
+
233022422412 = 223213677735467
BaseRepresentation
bin1101100100000100110…
…1111111110110001100
3211021110201210112222100
43121001031333312030
512304212220004122
6255014331115100
722556340624003
oct3310115776614
9737421715870
10233022422412
118a90809a99a
12391b28a2a90
1318c879196b0
14b3c7acbc3a
1560dc5c0aac
hex364137fd8c

233022422412 has 72 divisors (see below), whose sum is σ = 635276665296. Its totient is φ = 71593202304.

The previous prime is 233022422357. The next prime is 233022422417. The reversal of 233022422412 is 214224220332.

233022422412 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 2 + 242 + 2 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (233022422417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50898 + ... + 684569.

It is an arithmetic number, because the mean of its divisors is an integer number (8823287018).

Almost surely, 2233022422412 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 233022422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317638332648).

233022422412 is an abundant number, since it is smaller than the sum of its proper divisors (402254242884).

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

233022422412 is a wasteful number, since it uses less digits than its factorization.

233022422412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736167 (or 736162 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 233022422412 its reverse (214224220332), we get a palindrome (447246642744).

The spelling of 233022422412 in words is "two hundred thirty-three billion, twenty-two million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 677 1354 2031 2708 4062 6093 8124 8801 12186 17602 24372 26403 35204 52806 79209 105612 158418 316836 735467 1470934 2206401 2941868 4412802 6619203 8825604 9561071 13238406 19122142 26476812 28683213 38244284 57366426 86049639 114732852 172099278 344198556 497911159 995822318 1493733477 1991644636 2987466954 4481200431 5974933908 6472845067 8962400862 12945690134 17924801724 19418535201 25891380268 38837070402 58255605603 77674140804 116511211206 233022422412