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2226216000 = 263532337109
BaseRepresentation
bin1000010010110001…
…0101110001000000
312202011000111020110
42010230111301000
514024402403000
61004523311320
7106111344441
oct20454256100
95664014213
102226216000
11a42706038
1252167b540
132962b0198
141719432c8
15d0699850
hex84b15c40

2226216000 has 448 divisors, whose sum is σ = 7950159360. Its totient is φ = 547430400.

The previous prime is 2226215993. The next prime is 2226216017. The reversal of 2226216000 is 6126222.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20423946 + ... + 20424054.

Almost surely, 22226216000 is an apocalyptic number.

2226216000 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 2226216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680).

2226216000 is an abundant number, since it is smaller than the sum of its proper divisors (5723943360).

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

2226216000 is a wasteful number, since it uses less digits than its factorization.

2226216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2226216000 is about 47182.7934738926. The cubic root of 2226216000 is about 1305.7371681024.

The spelling of 2226216000 in words is "two billion, two hundred twenty-six million, two hundred sixteen thousand".