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2228866880 = 26510963901
BaseRepresentation
bin1000010011011001…
…1100111101000000
312202100000011120012
42010312130331000
514031042220010
61005100204052
7106143025112
oct20466347500
95670004505
102228866880
11a44156749
12522539628
132969ca956
141720333b2
15d0a20005
hex84d9cf40

2228866880 has 56 divisors (see below), whose sum is σ = 5356265640. Its totient is φ = 883353600.

The previous prime is 2228866867. The next prime is 2228866883. The reversal of 2228866880 is 886688222.

It can be written as a sum of positive squares in 4 ways, for example, as 917847616 + 1311019264 = 30296^2 + 36208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228866883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2930 + ... + 66830.

Almost surely, 22228866880 is an apocalyptic number.

2228866880 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 2228866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678132820).

2228866880 is an abundant number, since it is smaller than the sum of its proper divisors (3127398760).

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

2228866880 is a wasteful number, since it uses less digits than its factorization.

2228866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64027 (or 64017 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The square root of 2228866880 is about 47210.8767128932. The cubic root of 2228866880 is about 1306.2552339709.

The spelling of 2228866880 in words is "two billion, two hundred twenty-eight million, eight hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 17440 34880 63901 127802 255604 319505 511208 639010 1022416 1278020 2044832 2556040 4089664 5112080 6965209 10224160 13930418 20448320 27860836 34826045 55721672 69652090 111443344 139304180 222886688 278608360 445773376 557216720 1114433440 2228866880