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2269883064 = 233237157917
BaseRepresentation
bin1000011101001011…
…1010101010111000
312212012012000012010
42013102322222320
514122042224224
61013123245520
7110151454611
oct20722725270
95765160163
102269883064
11a65320819
125342198a0
132a235bb97
1417766cc08
15d4422e29
hex874baab8

2269883064 has 64 divisors (see below), whose sum is σ = 6004938240. Its totient is φ = 713525120.

The previous prime is 2269883059. The next prime is 2269883101. The reversal of 2269883064 is 4603889622.

2269883064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10234 + ... + 68150.

It is an arithmetic number, because the mean of its divisors is an integer number (93827160).

Almost surely, 22269883064 is an apocalyptic number.

2269883064 is a gapful number since it is divisible by the number (24) 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 2269883064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002469120).

2269883064 is an abundant number, since it is smaller than the sum of its proper divisors (3735055176).

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

2269883064 is a wasteful number, since it uses less digits than its factorization.

2269883064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58020 (or 58016 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2269883064 is about 47643.2898108432. The cubic root of 2269883064 is about 1314.2192619610.

The spelling of 2269883064 in words is "two billion, two hundred sixty-nine million, eight hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 3266 4899 6532 9798 13064 19596 39192 57917 115834 173751 231668 347502 463336 695004 1332091 1390008 2664182 3996273 4112107 5328364 7992546 8224214 10656728 12336321 15985092 16448428 24672642 31970184 32896856 49345284 94578461 98690568 189156922 283735383 378313844 567470766 756627688 1134941532 2269883064