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2211693312 = 28316972
BaseRepresentation
bin1000001111010011…
…1100001100000000
312201010200122212010
42003310330030000
514012143141222
61003244132520
7105544040313
oct20364741400
95633618763
102211693312
11a35496a14
12518837140
13293296b8a
1416da4297a
15ce27b80c
hex83d3c300

2211693312 has 54 divisors (see below), whose sum is σ = 5889800308. Its totient is φ = 736796672.

The previous prime is 2211693311. The next prime is 2211693377. The reversal of 2211693312 is 2133961122.

It is a self number, because there is not a number n which added to its sum of digits gives 2211693312.

It is not an unprimeable number, because it can be changed into a prime (2211693311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1302448 + ... + 1304144.

Almost surely, 22211693312 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 2211693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944900154).

2211693312 is an abundant number, since it is smaller than the sum of its proper divisors (3678106996).

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

2211693312 is an frugal number, since it uses more digits than its factorization.

2211693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 1702 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 2211693312 is about 47028.6435271102. The cubic root of 2211693312 is about 1302.8916523419.

Multiplying 2211693312 by its product of digits (3888), we get a square (8599063597056 = 29324162).

The spelling of 2211693312 in words is "two billion, two hundred eleven million, six hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1697 3394 5091 6788 10182 13576 20364 27152 40728 54304 81456 108608 162912 217216 325824 434432 651648 1303296 2879809 5759618 8639427 11519236 17278854 23038472 34557708 46076944 69115416 92153888 138230832 184307776 276461664 368615552 552923328 737231104 1105846656 2211693312