Search a number
-
+
274222848 = 283536737
BaseRepresentation
bin10000010110000…
…100111100000000
3201002222222000210
4100112010330000
51030200112343
643113314120
76536566344
oct2026047400
9632888023
10274222848
11130878759
1277a05940
1344a73c53
14285c3624
151911b333
hex10584f00

274222848 has 72 divisors (see below), whose sum is σ = 743713488. Its totient is φ = 89669632.

The previous prime is 274222841. The next prime is 274222853. The reversal of 274222848 is 848222472.

It is a super-2 number, since 2×2742228482 = 150396340730462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274222841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37336 + ... + 44072.

It is an arithmetic number, because the mean of its divisors is an integer number (10329354).

Almost surely, 2274222848 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 274222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371856744).

274222848 is an abundant number, since it is smaller than the sum of its proper divisors (469490640).

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

274222848 is an equidigital number, since it uses as much as digits as its factorization.

274222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6795 counting only the distinct ones).

The product of its digits is 114688, while the sum is 39.

The square root of 274222848 is about 16559.6753591367. The cubic root of 274222848 is about 649.6825653181.

The spelling of 274222848 in words is "two hundred seventy-four million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6737 6784 10176 13474 13568 20211 20352 26948 40422 40704 53896 80844 107792 161688 215584 323376 357061 431168 646752 714122 862336 1071183 1293504 1428244 1724672 2142366 2587008 2856488 4284732 5174016 5712976 8569464 11425952 17138928 22851904 34277856 45703808 68555712 91407616 137111424 274222848