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2229010080 = 25351117191307
BaseRepresentation
bin1000010011011011…
…1111111010100000
312202100021102222220
42010312333322200
514031111310310
61005103231040
7106144162443
oct20466777240
95670242886
102229010080
11a442442a0
125225a8480
13296a4ab9b
1417206d65a
15d0a4c670
hex84dbfea0

2229010080 has 384 divisors, whose sum is σ = 8543646720. Its totient is φ = 481443840.

The previous prime is 2229010079. The next prime is 2229010117. The reversal of 2229010080 is 800109222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2229010080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1704787 + ... + 1706093.

It is an arithmetic number, because the mean of its divisors is an integer number (22249080).

Almost surely, 22229010080 is an apocalyptic number.

2229010080 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 2229010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271823360).

2229010080 is an abundant number, since it is smaller than the sum of its proper divisors (6314636640).

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

2229010080 is a wasteful number, since it uses less digits than its factorization.

2229010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2229010080 is about 47212.3932882035. The cubic root of 2229010080 is about 1306.2832080872.

The spelling of 2229010080 in words is "two billion, two hundred twenty-nine million, ten thousand, eighty".