Search a number
-
+
274022740 = 22529371132
BaseRepresentation
bin10000010101010…
…100000101010100
3201002121210112101
4100111110011110
51030122211430
643105131444
76535104055
oct2025240524
9632553471
10274022740
11130751382
1277929b84
1344a03b44
142857072c
15190cbdca
hex10554154

274022740 has 72 divisors (see below), whose sum is σ = 616838040. Its totient is φ = 102057984.

The previous prime is 274022719. The next prime is 274022741. The reversal of 274022740 is 47220472.

It can be written as a sum of positive squares in 12 ways, for example, as 161747524 + 112275216 = 12718^2 + 10596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 274022699 and 274022708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274022741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2424924 + ... + 2425036.

It is an arithmetic number, because the mean of its divisors is an integer number (8567195).

Almost surely, 2274022740 is an apocalyptic number.

274022740 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 274022740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308419020).

274022740 is an abundant number, since it is smaller than the sum of its proper divisors (342815300).

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

274022740 is a wasteful number, since it uses less digits than its factorization.

274022740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 274022740 is about 16553.6322298159. The cubic root of 274022740 is about 649.5244964145.

The spelling of 274022740 in words is "two hundred seventy-four million, twenty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 113 116 145 148 185 226 290 370 452 565 580 740 1073 1130 2146 2260 3277 4181 4292 5365 6554 8362 10730 12769 13108 16385 16724 20905 21460 25538 32770 41810 51076 63845 65540 83620 121249 127690 242498 255380 370301 472453 484996 606245 740602 944906 1212490 1481204 1851505 1889812 2362265 2424980 3703010 4724530 7406020 9449060 13701137 27402274 54804548 68505685 137011370 274022740