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2221515252 = 2232118367589
BaseRepresentation
bin1000010001101001…
…1010000111110100
312201211011200000200
42010122122013310
514022201442002
61004234440500
7106023365565
oct20432320764
95654150020
102221515252
11a3aa95320
1251bb93130
13295325688
1417107c16c
15d006bb1c
hex8469a1f4

2221515252 has 72 divisors (see below), whose sum is σ = 6199895520. Its totient is φ = 665065920.

The previous prime is 2221515229. The next prime is 2221515253. The reversal of 2221515252 is 2525151222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221515253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927 + ... + 66662.

It is an arithmetic number, because the mean of its divisors is an integer number (86109660).

Almost surely, 22221515252 is an apocalyptic number.

2221515252 is a gapful number since it is divisible by the number (22) 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 2221515252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099947760).

2221515252 is an abundant number, since it is smaller than the sum of its proper divisors (3978380268).

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

2221515252 is a wasteful number, since it uses less digits than its factorization.

2221515252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67693 (or 67688 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 2221515252 is about 47132.9529310439. The cubic root of 2221515252 is about 1304.8174809696.

Adding to 2221515252 its reverse (2525151222), we get a palindrome (4746666474).

The spelling of 2221515252 in words is "two billion, two hundred twenty-one million, five hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16434 32868 67589 135178 202767 270356 405534 608301 743479 811068 1216602 1486958 2230437 2433204 2973916 4460874 5609887 6691311 8921748 11219774 13382622 16829661 22439548 26765244 33659322 50488983 61708757 67318644 100977966 123417514 185126271 201955932 246835028 370252542 555378813 740505084 1110757626 2221515252