Search a number
-
+
12302204240 = 245397509761
BaseRepresentation
bin10110111010100010…
…01011110101010000
31011202100202201122002
423131101023311100
5200143331013430
65352422533132
7613601003444
oct133521136520
934670681562
1012302204240
115243301147
122473b971a8
1312109549c1
14849c06824
154c0067845
hex2dd44bd50

12302204240 has 80 divisors (see below), whose sum is σ = 28768761360. Its totient is φ = 4892405760.

The previous prime is 12302204203. The next prime is 12302204267. The reversal of 12302204240 is 4240220321.

12302204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 402885184 + 11899319056 = 20072^2 + 109084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16165460 + ... + 16166220.

It is an arithmetic number, because the mean of its divisors is an integer number (359609517).

Almost surely, 212302204240 is an apocalyptic number.

12302204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302204240 is an abundant number, since it is smaller than the sum of its proper divisors (16466557120).

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

12302204240 is a wasteful number, since it uses less digits than its factorization.

12302204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12302204240 its reverse (4240220321), we get a palindrome (16542424561).

The spelling of 12302204240 in words is "twelve billion, three hundred two million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 509 761 794 1018 1522 1588 1985 2036 2545 3044 3176 3805 3970 4072 5090 6088 6352 7610 7940 8144 10180 12176 15220 15880 20360 30440 31760 40720 60880 202073 302117 387349 404146 604234 774698 808292 1010365 1208468 1510585 1549396 1616584 1936745 2020730 2416936 3021170 3098792 3233168 3873490 4041460 4833872 6042340 6197584 7746980 8082920 12084680 15493960 16165840 24169360 30987920 153777553 307555106 615110212 768887765 1230220424 1537775530 2460440848 3075551060 6151102120 12302204240