Search a number
-
+
2272965136 = 2413193118553
BaseRepresentation
bin1000011101111010…
…1011001000010000
312212101222120222221
42013132223020100
514123334341021
61013313310424
7110216612341
oct20736531020
95771876887
102272965136
11a67036392
12535265414
132a2b9a9b0
14177c320c8
15d4831241
hex877ab210

2272965136 has 80 divisors (see below), whose sum is σ = 5153559040. Its totient is φ = 961735680.

The previous prime is 2272965031. The next prime is 2272965143. The reversal of 2272965136 is 6315692722.

It is a junction number, because it is equal to n+sod(n) for n = 2272965092 and 2272965101.

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, 113236 + ... + 131788.

It is an arithmetic number, because the mean of its divisors is an integer number (64419488).

Almost surely, 22272965136 is an apocalyptic number.

2272965136 is a gapful number since it is divisible by the number (26) 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 2272965136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576779520).

2272965136 is an abundant number, since it is smaller than the sum of its proper divisors (2880593904).

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

2272965136 is a wasteful number, since it uses less digits than its factorization.

2272965136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18624 (or 18618 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 2272965136 is about 47675.6241280594. The cubic root of 2272965136 is about 1314.8138133656.

The spelling of 2272965136 in words is "two billion, two hundred seventy-two million, nine hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 806 988 1178 1612 1976 2356 3224 3952 4712 6448 7657 9424 15314 18553 30628 37106 61256 74212 122512 148424 241189 296848 352507 482378 575143 705014 964756 1150286 1410028 1929512 2300572 2820056 3859024 4582591 4601144 5640112 7476859 9165182 9202288 10927717 14953718 18330364 21855434 29907436 36660728 43710868 59814872 73321456 87421736 119629744 142060321 174843472 284120642 568241284 1136482568 2272965136