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2205151312 = 247213232409
BaseRepresentation
bin1000001101101111…
…1111000001010000
312200200101021220211
42003123333001100
514004004320222
61002452013504
7105434322400
oct20333770120
95620337824
102205151312
11a31828901
12516601294
13291b16280
1416cc1c800
15cd8d8277
hex836ff050

2205151312 has 180 divisors, whose sum is σ = 5608846740. Its totient is φ = 832398336.

The previous prime is 2205151307. The next prime is 2205151313. The reversal of 2205151312 is 2131515022.

It can be written as a sum of positive squares in 2 ways, for example, as 1209370176 + 995781136 = 34776^2 + 31556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205151313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5391364 + ... + 5391772.

Almost surely, 22205151312 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 2205151312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804423370).

2205151312 is an abundant number, since it is smaller than the sum of its proper divisors (3403695428).

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

2205151312 is a wasteful number, since it uses less digits than its factorization.

2205151312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2205151312 is about 46959.0386613695. The cubic root of 2205151312 is about 1301.6057695711.

Adding to 2205151312 its reverse (2131515022), we get a palindrome (4336666334).

The spelling of 2205151312 in words is "two billion, two hundred five million, one hundred fifty-one thousand, three hundred twelve".