Search a number
-
+
12302202400 = 255215377753
BaseRepresentation
bin10110111010100010…
…01011011000100000
31011202100202122002221
423131101023120200
5200143330434100
65352422520424
7613600665205
oct133521133040
934670678087
1012302202400
1152432aa824
122473b96114
131210953c07
14849c05cac
154c006701a
hex2dd44b620

12302202400 has 36 divisors (see below), whose sum is σ = 30032753562. Its totient is φ = 4920880640.

The previous prime is 12302202361. The next prime is 12302202401. The reversal of 12302202400 is 420220321.

It can be written as a sum of positive squares in 3 ways, for example, as 8722812816 + 3579389584 = 93396^2 + 59828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12302202401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7688077 + ... + 7689676.

Almost surely, 212302202400 is an apocalyptic number.

12302202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302202400 is an abundant number, since it is smaller than the sum of its proper divisors (17730551162).

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

12302202400 is a wasteful number, since it uses less digits than its factorization.

12302202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377773 (or 15377760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12302202400 its reverse (420220321), we get a palindrome (12722422721).

The spelling of 12302202400 in words is "twelve billion, three hundred two million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15377753 30755506 61511012 76888765 123022024 153777530 246044048 307555060 384443825 492088096 615110120 768887650 1230220240 1537775300 2460440480 3075550600 6151101200 12302202400