Search a number
-
+
2832775000 = 23551110301
BaseRepresentation
bin1010100011011000…
…1011011101011000
321022102100212202121
42220312023131120
521300142300000
61145032111024
7130125122146
oct25066133530
97272325677
102832775000
111224033870
12670835474
13361b64333
141cc316596
15118a60b1a
hexa8d8b758

2832775000 has 96 divisors (see below), whose sum is σ = 7243130160. Its totient is φ = 1030000000.

The previous prime is 2832774979. The next prime is 2832775039. The reversal of 2832775000 is 5772382.

2832775000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28327750002 = 16049228401250000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269850 + ... + 280150.

Almost surely, 22832775000 is an apocalyptic number.

2832775000 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 2832775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621565080).

2832775000 is an abundant number, since it is smaller than the sum of its proper divisors (4410355160).

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

2832775000 is a wasteful number, since it uses less digits than its factorization.

2832775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2832775000 is about 53223.8198553993. The cubic root of 2832775000 is about 1414.9378372555.

The spelling of 2832775000 in words is "two billion, eight hundred thirty-two million, seven hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 3125 5000 5500 6250 6875 10301 11000 12500 13750 20602 25000 27500 34375 41204 51505 55000 68750 82408 103010 113311 137500 206020 226622 257525 275000 412040 453244 515050 566555 906488 1030100 1133110 1287625 2060200 2266220 2575250 2832775 4532440 5150500 5665550 6438125 10301000 11331100 12876250 14163875 22662200 25752500 28327750 32190625 51505000 56655500 64381250 70819375 113311000 128762500 141638750 257525000 283277500 354096875 566555000 708193750 1416387500 2832775000