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2221707968 = 26172239157
BaseRepresentation
bin1000010001101100…
…1001001011000000
312201211112110101022
42010123021023000
514022224123333
61004242525012
7106025130464
oct20433111300
95654473338
102221707968
11a40107097
12520066768
132953922cc
141710cc4a4
15d00a8c98
hex846c92c0

2221707968 has 56 divisors (see below), whose sum is σ = 4689482112. Its totient is φ = 1040707584.

The previous prime is 2221707967. The next prime is 2221708003. The reversal of 2221707968 is 8697071222.

It is not an unprimeable number, because it can be changed into a prime (2221707967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238046 + ... + 247202.

It is an arithmetic number, because the mean of its divisors is an integer number (83740752).

Almost surely, 22221707968 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 2221707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344741056).

2221707968 is an abundant number, since it is smaller than the sum of its proper divisors (2467774144).

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

2221707968 is a wasteful number, since it uses less digits than its factorization.

2221707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 2221707968 is about 47134.9972737880. The cubic root of 2221707968 is about 1304.8552107631.

The spelling of 2221707968 in words is "two billion, two hundred twenty-one million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 223 272 446 544 892 1088 1784 3568 3791 7136 7582 9157 14272 15164 18314 30328 36628 60656 73256 121312 146512 155669 242624 293024 311338 586048 622676 1245352 2042011 2490704 4084022 4981408 8168044 9962816 16336088 32672176 34714187 65344352 69428374 130688704 138856748 277713496 555426992 1110853984 2221707968