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2228223816 = 2334713291303
BaseRepresentation
bin1000010011001111…
…1111111101001000
312202021210111110000
42010303333331020
514030411130231
61005034323000
7106134406230
oct20463777510
95667714400
102228223816
11a43857595
12522289460
13296834040
14171d06cc0
15d09446e6
hex84cfff48

2228223816 has 320 divisors, whose sum is σ = 7952313600. Its totient is φ = 566963712.

The previous prime is 2228223791. The next prime is 2228223817. The reversal of 2228223816 is 6183228222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2228223817) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1709421 + ... + 1710723.

It is an arithmetic number, because the mean of its divisors is an integer number (24850980).

Almost surely, 22228223816 is an apocalyptic number.

2228223816 is a gapful number since it is divisible by the number (26) 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 2228223816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976156800).

2228223816 is an abundant number, since it is smaller than the sum of its proper divisors (5724089784).

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

2228223816 is a wasteful number, since it uses less digits than its factorization.

2228223816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2228223816 is about 47204.0656723550. The cubic root of 2228223816 is about 1306.1295966615.

The spelling of 2228223816 in words is "two billion, two hundred twenty-eight million, two hundred twenty-three thousand, eight hundred sixteen".