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2241214116 = 2232371114371
BaseRepresentation
bin1000010110010110…
…0011011010100100
312210012020110210020
42011211203122210
514042222322431
61010220555140
7106353001641
oct20545433244
95705213706
102241214116
11a5011a379
125266b2ab0
132994319cb
14173928dc8
15d1b5d696
hex859636a4

2241214116 has 48 divisors (see below), whose sum is σ = 5533774848. Its totient is φ = 704519200.

The previous prime is 2241214111. The next prime is 2241214117. The reversal of 2241214116 is 6114121422.

It is a super-2 number, since 2×22412141162 = 10046081427515322912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2241214111) 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, 37590 + ... + 76781.

It is an arithmetic number, because the mean of its divisors is an integer number (115286976).

Almost surely, 22241214116 is an apocalyptic number.

It is an amenable number.

2241214116 is an abundant number, since it is smaller than the sum of its proper divisors (3292560732).

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

2241214116 is a wasteful number, since it uses less digits than its factorization.

2241214116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114472 (or 114470 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2241214116 is about 47341.4629685226. The cubic root of 2241214116 is about 1308.6628774462.

Adding to 2241214116 its reverse (6114121422), we get a palindrome (8355335538).

The spelling of 2241214116 in words is "two billion, two hundred forty-one million, two hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1633 3266 4899 6532 9798 19596 114371 228742 343113 457484 686226 1372452 2630533 5261066 7891599 8120341 10522132 15783198 16240682 24361023 31566396 32481364 48722046 97444092 186767843 373535686 560303529 747071372 1120607058 2241214116