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255071232 = 21032132129
BaseRepresentation
bin11110011010000…
…01010000000000
3122202221221221200
433031001100000
51010244234412
641151021200
76215032623
oct1715012000
9582857850
10255071232
11120a87879
127150a800
1340ac9a30
1425c39dba
15175d69dc
hexf341400

255071232 has 132 divisors (see below), whose sum is σ = 793540020. Its totient is φ = 78446592.

The previous prime is 255071189. The next prime is 255071233. The reversal of 255071232 is 232170552.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 204604416 = 7104^2 + 14304^2 .

It is a super-2 number, since 2×2550712322 = 130122666787995648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 255071196 and 255071205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255071233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118744 + ... + 120872.

Almost surely, 2255071232 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 255071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396770010).

255071232 is an abundant number, since it is smaller than the sum of its proper divisors (538468788).

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

255071232 is a wasteful number, since it uses less digits than its factorization.

255071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 255071232 is about 15970.9496273703. The cubic root of 255071232 is about 634.1916114874.

The spelling of 255071232 in words is "two hundred fifty-five million, seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2129 2304 2496 3072 3328 3744 4258 4608 4992 6387 6656 7488 8516 9216 9984 12774 13312 14976 17032 19161 19968 25548 27677 29952 34064 38322 39936 51096 55354 59904 68128 76644 83031 102192 110708 119808 136256 153288 166062 204384 221416 249093 272512 306576 332124 408768 442832 498186 545024 613152 664248 817536 885664 996372 1090048 1226304 1328496 1635072 1771328 1992744 2180096 2452608 2656992 3270144 3542656 3985488 4905216 5313984 6540288 7085312 7970976 9810432 10627968 14170624 15941952 19620864 21255936 28341248 31883904 42511872 63767808 85023744 127535616 255071232