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2228980600 = 23527211232931
BaseRepresentation
bin1000010011011011…
…1000101101111000
312202100012221120001
42010312320231320
514031104334400
61005102442344
7106144010500
oct20466705570
95670187501
102228980600
11a44224130
125225933b4
13296a3a642
14172062a00
15d0a43a6a
hex84db8b78

2228980600 has 576 divisors, whose sum is σ = 7328102400. Its totient is φ = 620928000.

The previous prime is 2228980591. The next prime is 2228980609. The reversal of 2228980600 is 60898222.

2228980600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2228980591) and next prime (2228980609).

It is a self number, because there is not a number n which added to its sum of digits gives 2228980600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228980609) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71902585 + ... + 71902615.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 22228980600 is an apocalyptic number.

2228980600 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 2228980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664051200).

2228980600 is an abundant number, since it is smaller than the sum of its proper divisors (5099121800).

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

2228980600 is a wasteful number, since it uses less digits than its factorization.

2228980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2228980600 is about 47212.0810810115. The cubic root of 2228980600 is about 1306.2774492679.

The spelling of 2228980600 in words is "two billion, two hundred twenty-eight million, nine hundred eighty thousand, six hundred".