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2226879480 = 23357459131
BaseRepresentation
bin1000010010111011…
…0111101111111000
312202012021012100210
42010232313233320
514030040120410
61004545431120
7106120110000
oct20456675770
95665235323
102226879480
11a43019571
1252193b4a0
13296483187
14171a77000
15d077b220
hex84bb7bf8

2226879480 has 320 divisors, whose sum is σ = 7986211200. Its totient is φ = 496554240.

The previous prime is 2226879449. The next prime is 2226879491. The reversal of 2226879480 is 849786222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16999015 + ... + 16999145.

It is an arithmetic number, because the mean of its divisors is an integer number (24956910).

Almost surely, 22226879480 is an apocalyptic number.

2226879480 is a gapful number since it is divisible by the number (20) 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 2226879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993105600).

2226879480 is an abundant number, since it is smaller than the sum of its proper divisors (5759331720).

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

2226879480 is a wasteful number, since it uses less digits than its factorization.

2226879480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2226879480 is about 47189.8239030408. The cubic root of 2226879480 is about 1305.8668716661.

The spelling of 2226879480 in words is "two billion, two hundred twenty-six million, eight hundred seventy-nine thousand, four hundred eighty".