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2221468008 = 23392561167
BaseRepresentation
bin1000010001101000…
…1110100101101000
312201211002021012220
42010122032211220
514022143434013
61004233434040
7106023111054
oct20432164550
95654067186
102221468008
11a3aa62881
1251bb6b920
1329530a016
14171068c64
15d005cb23
hex8468e968

2221468008 has 16 divisors (see below), whose sum is σ = 5553670080. Its totient is φ = 740489328.

The previous prime is 2221468003. The next prime is 2221468009. The reversal of 2221468008 is 8008641222.

It is a happy number.

It is a super-2 number, since 2×22214680082 = 9869840221134976128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221468008.

It is not an unprimeable number, because it can be changed into a prime (2221468003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46280560 + ... + 46280607.

It is an arithmetic number, because the mean of its divisors is an integer number (347104380).

Almost surely, 22221468008 is an apocalyptic number.

It is an amenable number.

2221468008 is an abundant number, since it is smaller than the sum of its proper divisors (3332202072).

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

2221468008 is a wasteful number, since it uses less digits than its factorization.

2221468008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92561176 (or 92561172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2221468008 is about 47132.4517503599. The cubic root of 2221468008 is about 1304.8082312418.

The spelling of 2221468008 in words is "two billion, two hundred twenty-one million, four hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 92561167 185122334 277683501 370244668 555367002 740489336 1110734004 2221468008