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2206245888 = 210327113109
BaseRepresentation
bin1000001110000000…
…1010010000000000
312200202102220101200
42003200022100000
514004244332023
61002531301200
7105446531520
oct20340122000
95622386350
102206245888
11a32406210
12516a4a800
1329210a552
1416d025680
15cda52743
hex8380a400

2206245888 has 264 divisors, whose sum is σ = 7944980160. Its totient is φ = 572866560.

The previous prime is 2206245871. The next prime is 2206245911. The reversal of 2206245888 is 8885426022.

2206245888 is a `hidden beast` number, since 2 + 2 + 0 + 62 + 4 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708078 + ... + 711186.

Almost surely, 22206245888 is an apocalyptic number.

2206245888 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 2206245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972490080).

2206245888 is an abundant number, since it is smaller than the sum of its proper divisors (5738734272).

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

2206245888 is a wasteful number, since it uses less digits than its factorization.

2206245888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2206245888 is about 46970.6917981841. The cubic root of 2206245888 is about 1301.8210942922.

The spelling of 2206245888 in words is "two billion, two hundred six million, two hundred forty-five thousand, eight hundred eighty-eight".