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2213304048 = 243313737397
BaseRepresentation
bin1000001111101100…
…0101011011110000
312201020201111101000
42003323011123300
514013101212143
61003342442000
7105563526324
oct20373053360
95636644330
102213304048
11a363970aa
12519293300
1329370c087
1416dd41984
15ce498bd3
hex83ec56f0

2213304048 has 80 divisors (see below), whose sum is σ = 6399545760. Its totient is φ = 732363264.

The previous prime is 2213304017. The next prime is 2213304059. The reversal of 2213304048 is 8404033122.

2213304048 is a `hidden beast` number, since 221 + 3 + 30 + 404 + 8 = 666.

2213304048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40486 + ... + 77882.

It is an arithmetic number, because the mean of its divisors is an integer number (79994322).

Almost surely, 22213304048 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 2213304048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199772880).

2213304048 is an abundant number, since it is smaller than the sum of its proper divisors (4186241712).

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

2213304048 is a wasteful number, since it uses less digits than its factorization.

2213304048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37551 (or 37539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2213304048 is about 47045.7654630042. The cubic root of 2213304048 is about 1303.2078663519.

The spelling of 2213304048 in words is "two billion, two hundred thirteen million, three hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1233 1644 2192 2466 3288 3699 4932 6576 7398 9864 14796 19728 29592 37397 59184 74794 112191 149588 224382 299176 336573 448764 598352 673146 897528 1009719 1346292 1795056 2019438 2692584 4038876 5123389 5385168 8077752 10246778 15370167 16155504 20493556 30740334 40987112 46110501 61480668 81974224 92221002 122961336 138331503 184442004 245922672 276663006 368884008 553326012 737768016 1106652024 2213304048