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2228878080 = 283351121341
BaseRepresentation
bin1000010011011001…
…1111101100000000
312202100000201221000
42010312133230000
514031043044310
61005100332000
7106143102552
oct20466375400
95670021830
102228878080
11a44164100
12522544000
13296a02a90
141720374d2
15d0a234c0
hex84d9fb00

2228878080 has 864 divisors, whose sum is σ = 9590938560. Its totient is φ = 486604800.

The previous prime is 2228878051. The next prime is 2228878081. The reversal of 2228878080 is 808788222.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228878081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54362860 + ... + 54362900.

Almost surely, 22228878080 is an apocalyptic number.

2228878080 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 2228878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795469280).

2228878080 is an abundant number, since it is smaller than the sum of its proper divisors (7362060480).

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

2228878080 is a wasteful number, since it uses less digits than its factorization.

2228878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2228878080 is about 47210.9953294781. The cubic root of 2228878080 is about 1306.2574219338.

The spelling of 2228878080 in words is "two billion, two hundred twenty-eight million, eight hundred seventy-eight thousand, eighty".