Search a number
-
+
2269379328 = 28310132917
BaseRepresentation
bin1000011101000011…
…1111101100000000
312212011020102012020
42013100333230000
514121430114303
61013104401440
7110144256156
oct20720775400
95764212166
102269379328
11a65007307
12534016280
132a2213808
1417757b3d6
15d4373a53
hex8743fb00

2269379328 has 72 divisors (see below), whose sum is σ = 6047893488. Its totient is φ = 755453952.

The previous prime is 2269379303. The next prime is 2269379393. The reversal of 2269379328 is 8239739622.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776526 + ... + 779442.

Almost surely, 22269379328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023946744).

2269379328 is an abundant number, since it is smaller than the sum of its proper divisors (3778514160).

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

2269379328 is a wasteful number, since it uses less digits than its factorization.

2269379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3935 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 2269379328 is about 47638.0029808135. The cubic root of 2269379328 is about 1314.1220369038.

The spelling of 2269379328 in words is "two billion, two hundred sixty-nine million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1013 2026 2917 3039 4052 5834 6078 8104 8751 11668 12156 16208 17502 23336 24312 32416 35004 46672 48624 64832 70008 93344 97248 129664 140016 186688 194496 259328 280032 373376 388992 560064 746752 777984 1120128 2240256 2954921 5909842 8864763 11819684 17729526 23639368 35459052 47278736 70918104 94557472 141836208 189114944 283672416 378229888 567344832 756459776 1134689664 2269379328