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2221230816 = 253372811307
BaseRepresentation
bin1000010001100101…
…0100101011100000
312201210122012212000
42010121110223200
514022113341231
61004224404000
7106021102410
oct20431245340
95653565760
102221230816
11a3a910652
1251ba76600
1329525607c
14171006640
15d00126e6
hex84654ae0

2221230816 has 192 divisors, whose sum is σ = 7436136960. Its totient is φ = 631895040.

The previous prime is 2221230799. The next prime is 2221230821. The reversal of 2221230816 is 6180321222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2221230816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698835 + ... + 1700141.

It is an arithmetic number, because the mean of its divisors is an integer number (38729880).

Almost surely, 22221230816 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 2221230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718068480).

2221230816 is an abundant number, since it is smaller than the sum of its proper divisors (5214906144).

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

2221230816 is a wasteful number, since it uses less digits than its factorization.

2221230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2221230816 is about 47129.9354550799. The cubic root of 2221230816 is about 1304.7617903165.

The spelling of 2221230816 in words is "two billion, two hundred twenty-one million, two hundred thirty thousand, eight hundred sixteen".