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2213863328 = 253710631759
BaseRepresentation
bin1000001111110100…
…1101111110100000
312201021202220120002
42003331031332200
514013222111303
61003402435132
7105601346015
oct20375157640
95637686502
102213863328
11a36739316
12519502aa8
13293876801
1417004970c
15ce559788
hex83f4dfa0

2213863328 has 48 divisors (see below), whose sum is σ = 4483100160. Its totient is φ = 1075389696.

The previous prime is 2213863319. The next prime is 2213863331. The reversal of 2213863328 is 8233683122.

It is a junction number, because it is equal to n+sod(n) for n = 2213863291 and 2213863300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257713 + ... + 1259471.

It is an arithmetic number, because the mean of its divisors is an integer number (93397920).

Almost surely, 22213863328 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 2213863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241550080).

2213863328 is an abundant number, since it is smaller than the sum of its proper divisors (2269236832).

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

2213863328 is a wasteful number, since it uses less digits than its factorization.

2213863328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 2213863328 is about 47051.7090869184. The cubic root of 2213863328 is about 1303.3176263452.

The spelling of 2213863328 in words is "two billion, two hundred thirteen million, eight hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1063 1184 1759 2126 3518 4252 7036 8504 14072 17008 28144 34016 39331 56288 65083 78662 130166 157324 260332 314648 520664 629296 1041328 1258592 1869817 2082656 3739634 7479268 14958536 29917072 59834144 69183229 138366458 276732916 553465832 1106931664 2213863328