Search a number
-
+
12204050240 = 265233189601
BaseRepresentation
bin10110101110110101…
…10000011101000000
31011111112001222122202
423113122300131000
5144443214101430
65334555052332
7611266500254
oct132732603500
934445058582
1012204050240
1151a2960638
1224471410a8
1311c6509505
1483ab76264
154b6629d45
hex2d76b0740

12204050240 has 224 divisors, whose sum is σ = 31707002880. Its totient is φ = 4460544000.

The previous prime is 12204050213. The next prime is 12204050249. The reversal of 12204050240 is 4205040221.

It is a happy number.

It is a super-3 number, since 3×122040502403 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204050249) 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, 20305940 + ... + 20306540.

It is an arithmetic number, because the mean of its divisors is an integer number (141549120).

Almost surely, 212204050240 is an apocalyptic number.

12204050240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853501440).

12204050240 is an abundant number, since it is smaller than the sum of its proper divisors (19502952640).

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

12204050240 is a wasteful number, since it uses less digits than its factorization.

12204050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12204050240 its reverse (4205040221), we get a palindrome (16409090461).

The spelling of 12204050240 in words is "twelve billion, two hundred four million, fifty thousand, two hundred forty".