Search a number
-
+
2826224720 = 2451115121269
BaseRepresentation
bin1010100001110100…
…1100010001010000
321021222001002110122
42220131030101100
521242003142340
61144235445412
7130015341134
oct25035142120
97258032418
102826224720
11122036a510
1266a5b6868
133606aca27
141cb4cd3c4
151181b9db5
hexa874c450

2826224720 has 80 divisors (see below), whose sum is σ = 7216145280. Its totient is φ = 1020864000.

The previous prime is 2826224719. The next prime is 2826224743. The reversal of 2826224720 is 274226282.

It is a tau number, because it is divible by the number of its divisors (80).

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, 122246 + ... + 143514.

It is an arithmetic number, because the mean of its divisors is an integer number (90201816).

Almost surely, 22826224720 is an apocalyptic number.

2826224720 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 2826224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608072640).

2826224720 is an abundant number, since it is smaller than the sum of its proper divisors (4389920560).

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

2826224720 is a wasteful number, since it uses less digits than its factorization.

2826224720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21444 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 2826224720 is about 53162.2490118693. The cubic root of 2826224720 is about 1413.8463995996.

The spelling of 2826224720 in words is "two billion, eight hundred twenty-six million, two hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 12080 13288 16610 21269 26576 33220 42538 66440 85076 106345 132880 170152 212690 233959 340304 425380 467918 850760 935836 1169795 1701520 1871672 2339590 3211619 3743344 4679180 6423238 9358360 12846476 16058095 18716720 25692952 32116190 35327809 51385904 64232380 70655618 128464760 141311236 176639045 256929520 282622472 353278090 565244944 706556180 1413112360 2826224720