Search a number
-
+
255226224 = 24311312503
BaseRepresentation
bin11110011011001…
…11000101110000
3122210020211120010
433031213011300
51010314214344
641154214520
76216246531
oct1715470560
9583224503
10255226224
11121083270
1271584440
1340b52446
1425c7a688
15176178b9
hexf367170

255226224 has 120 divisors (see below), whose sum is σ = 744702336. Its totient is φ = 74697600.

The previous prime is 255226171. The next prime is 255226261. The reversal of 255226224 is 422622552.

255226224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255226191 and 255226200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507157 + ... + 507659.

Almost surely, 2255226224 is an apocalyptic number.

255226224 is a gapful number since it is divisible by the number (24) 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 255226224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372351168).

255226224 is an abundant number, since it is smaller than the sum of its proper divisors (489476112).

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

255226224 is a wasteful number, since it uses less digits than its factorization.

255226224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 550 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 255226224 is about 15975.8012005658. The cubic root of 255226224 is about 634.3200393033.

Adding to 255226224 its reverse (422622552), we get a palindrome (677848776).

The spelling of 255226224 in words is "two hundred fifty-five million, two hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 503 528 682 744 961 1006 1023 1364 1488 1509 1922 2012 2046 2728 2883 3018 3844 4024 4092 5456 5533 5766 6036 7688 8048 8184 10571 11066 11532 12072 15376 15593 16368 16599 21142 22132 23064 24144 31186 31713 33198 42284 44264 46128 46779 62372 63426 66396 84568 88528 93558 124744 126852 132792 169136 171523 187116 249488 253704 265584 343046 374232 483383 507408 514569 686092 748464 966766 1029138 1372184 1450149 1933532 2058276 2744368 2900298 3867064 4116552 5317213 5800596 7734128 8233104 10634426 11601192 15951639 21268852 23202384 31903278 42537704 63806556 85075408 127613112 255226224