Search a number
-
+
274765220 = 225174611753
BaseRepresentation
bin10000011000001…
…001010110100100
3201011000112000122
4100120021112210
51030314441340
643133101112
76544315532
oct2030112644
9634015018
10274765220
111311091a4
1278027798
1344c03a92
14286c5152
15191c6db5
hex106095a4

274765220 has 48 divisors (see below), whose sum is σ = 612623088. Its totient is φ = 103157760.

The previous prime is 274765181. The next prime is 274765223. The reversal of 274765220 is 22567472.

It can be written as a sum of positive squares in 8 ways, for example, as 27709696 + 247055524 = 5264^2 + 15718^2 .

It is a super-2 number, since 2×2747652202 = 150991852243296800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (274765223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155864 + ... + 157616.

It is an arithmetic number, because the mean of its divisors is an integer number (12762981).

Almost surely, 2274765220 is an apocalyptic number.

274765220 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 274765220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306311544).

274765220 is an abundant number, since it is smaller than the sum of its proper divisors (337857868).

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

274765220 is a wasteful number, since it uses less digits than its factorization.

274765220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 274765220 is about 16576.0435568926. The cubic root of 274765220 is about 650.1106083960.

The spelling of 274765220 in words is "two hundred seventy-four million, seven hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1753 1844 2305 3506 4610 7012 7837 8765 9220 15674 17530 29801 31348 35060 39185 59602 78370 119204 149005 156740 298010 596020 808133 1616266 3232532 4040665 8081330 13738261 16162660 27476522 54953044 68691305 137382610 274765220