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2214783648 = 2538711137
BaseRepresentation
bin1000010000000010…
…1110101010100000
312201100111200000000
42010000232222200
514013441034043
61003434300000
7105612231120
oct20400565240
95640450000
102214783648
11a37207810
12519887600
13293b0968c
14170208c80
15ce68c2d3
hex8402eaa0

2214783648 has 432 divisors, whose sum is σ = 8213534784. Its totient is φ = 571069440.

The previous prime is 2214783619. The next prime is 2214783667. The reversal of 2214783648 is 8463874122.

It is a happy number.

2214783648 is a `hidden beast` number, since 2 + 214 + 78 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16166236 + ... + 16166372.

It is an arithmetic number, because the mean of its divisors is an integer number (19012812).

Almost surely, 22214783648 is an apocalyptic number.

2214783648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106767392).

2214783648 is an abundant number, since it is smaller than the sum of its proper divisors (5998751136).

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

2214783648 is an equidigital number, since it uses as much as digits as its factorization.

2214783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2214783648 is about 47061.4879492776. The cubic root of 2214783648 is about 1303.4982010434.

The spelling of 2214783648 in words is "two billion, two hundred fourteen million, seven hundred eighty-three thousand, six hundred forty-eight".