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2224981314 = 2322326919979
BaseRepresentation
bin1000010010011110…
…1000010101000010
312202001200202120100
42010213220111002
514024043400224
61004441023230
7106065012663
oct20447502502
95661622510
102224981314
11a41a42436
12521184b16
13295c6a1ba
1417170136a
15d0503ac9
hex849e8542

2224981314 has 48 divisors (see below), whose sum is σ = 5049345600. Its totient is φ = 706741728.

The previous prime is 2224981313. The next prime is 2224981327. The reversal of 2224981314 is 4131894222.

2224981314 is a `hidden beast` number, since 22 + 249 + 81 + 314 = 666.

It is not an unprimeable number, because it can be changed into a prime (2224981313) 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, 101377 + ... + 121355.

It is an arithmetic number, because the mean of its divisors is an integer number (105194700).

Almost surely, 22224981314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224981314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524672800).

2224981314 is an abundant number, since it is smaller than the sum of its proper divisors (2824364286).

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

2224981314 is a wasteful number, since it uses less digits than its factorization.

2224981314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279 (or 20276 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2224981314 is about 47169.7075886633. The cubic root of 2224981314 is about 1305.4957309826.

The spelling of 2224981314 in words is "two billion, two hundred twenty-four million, nine hundred eighty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 269 414 538 807 1614 2421 4842 6187 12374 18561 19979 37122 39958 55683 59937 111366 119874 179811 359622 459517 919034 1378551 2757102 4135653 5374351 8271306 10748702 16123053 32246106 48369159 96738318 123610073 247220146 370830219 741660438 1112490657 2224981314