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2228398848 = 28321325997
BaseRepresentation
bin1000010011010010…
…1010101100000000
312202022010101112200
42010310222230000
514030432230343
61005042153200
7106136035434
oct20464525400
95668111480
102228398848
11a43967045
12522352800
13296895900
14171d509c4
15d097b4d3
hex84d2ab00

2228398848 has 324 divisors, whose sum is σ = 7148133720. Its totient is φ = 667090944.

The previous prime is 2228398841. The next prime is 2228398849. The reversal of 2228398848 is 8488938222.

It is a super-2 number, since 2×22283988482 = 9931522851535454208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2228398794 and 2228398803.

It is not an unprimeable number, because it can be changed into a prime (2228398841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22973136 + ... + 22973232.

Almost surely, 22228398848 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 2228398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574066860).

2228398848 is an abundant number, since it is smaller than the sum of its proper divisors (4919734872).

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

2228398848 is a wasteful number, since it uses less digits than its factorization.

2228398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2228398848 is about 47205.9196287923. The cubic root of 2228398848 is about 1306.1637955733.

The spelling of 2228398848 in words is "two billion, two hundred twenty-eight million, three hundred ninety-eight thousand, eight hundred forty-eight".