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2201331412 = 2271918122861
BaseRepresentation
bin1000001100110101…
…1010011011010100
312200102012020000001
42003031122123110
514002020101122
61002234101044
7105360002560
oct20315323324
95612166001
102201331412
11a2a659965
1251527a784
132910a9687
1416c5066a0
15cd3d1527
hex8335a6d4

2201331412 has 48 divisors (see below), whose sum is σ = 4660190080. Its totient is φ = 888796800.

The previous prime is 2201331337. The next prime is 2201331413. The reversal of 2201331412 is 2141331022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2201331412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201331413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84862 + ... + 107722.

Almost surely, 22201331412 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 2201331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330095040).

2201331412 is an abundant number, since it is smaller than the sum of its proper divisors (2458858668).

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

2201331412 is a wasteful number, since it uses less digits than its factorization.

2201331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23072 (or 23070 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2201331412 is about 46918.3483511515. The cubic root of 2201331412 is about 1300.8537610723.

Adding to 2201331412 its reverse (2141331022), we get a palindrome (4342662434).

The spelling of 2201331412 in words is "two billion, two hundred one million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 181 266 362 532 724 1267 2534 3439 5068 6878 13756 22861 24073 45722 48146 91444 96292 160027 320054 434359 640108 868718 1737436 3040513 4137841 6081026 8275682 12162052 16551364 28964887 57929774 78618979 115859548 157237958 314475916 550332853 1100665706 2201331412