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2228569728 = 2737112329113
BaseRepresentation
bin1000010011010101…
…0100011010000000
312202022110001221120
42010311110122000
514031003212403
61005045552240
7106140346560
oct20465243200
95668401846
102228569728
11a43a73470
12522415680
13296925618
14171d96da0
15d09b1e53
hex84d54680

2228569728 has 512 divisors, whose sum is σ = 8037273600. Its totient is φ = 529858560.

The previous prime is 2228569727. The next prime is 2228569753. The reversal of 2228569728 is 8279658222.

It is not an unprimeable number, because it can be changed into a prime (2228569723) 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 63 ways as a sum of consecutive naturals, for example, 19721800 + ... + 19721912.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 22228569728 is an apocalyptic number.

2228569728 is a gapful number since it is divisible by the number (28) 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 2228569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018636800).

2228569728 is an abundant number, since it is smaller than the sum of its proper divisors (5808703872).

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

2228569728 is a wasteful number, since it uses less digits than its factorization.

2228569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 2228569728 is about 47207.7295365918. The cubic root of 2228569728 is about 1306.1971815124.

The spelling of 2228569728 in words is "two billion, two hundred twenty-eight million, five hundred sixty-nine thousand, seven hundred twenty-eight".