Search a number
-
+
274522240 = 2753711593
BaseRepresentation
bin10000010111001…
…110000010000000
3201010120011201101
4100113032002000
51030234202430
643123544144
76542254246
oct2027160200
9633504641
10274522240
11130a62693
1277b2b054
1344b4a2c5
1428660796
1519179dca
hex105ce080

274522240 has 64 divisors (see below), whose sum is σ = 674075160. Its totient is φ = 106831872.

The previous prime is 274522217. The next prime is 274522247. The reversal of 274522240 is 42225472.

It can be written as a sum of positive squares in 4 ways, for example, as 273968704 + 553536 = 16552^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 274522199 and 274522208.

It is not an unprimeable number, because it can be changed into a prime (274522247) 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, 17884 + ... + 29476.

Almost surely, 2274522240 is an apocalyptic number.

274522240 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 274522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337037580).

274522240 is an abundant number, since it is smaller than the sum of its proper divisors (399552920).

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

274522240 is a wasteful number, since it uses less digits than its factorization.

274522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11637 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 274522240 is about 16568.7126838508. The cubic root of 274522240 is about 649.9189169076.

It can be divided in two parts, 27452 and 2240, that added together give a palindrome (29692).

The spelling of 274522240 in words is "two hundred seventy-four million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11593 11840 23186 23680 46372 57965 92744 115930 185488 231860 370976 428941 463720 741952 857882 927440 1483904 1715764 1854880 2144705 3431528 3709760 4289410 6863056 7419520 8578820 13726112 17157640 27452224 34315280 54904448 68630560 137261120 274522240