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56226300 = 223521321109
BaseRepresentation
bin1101011001111…
…1000111111100
310220210120222120
43112133013330
5103343220200
65325042540
71251626034
oct326370774
9126716876
1056226300
1129813719
12169b6450
13b858400
1476788c4
154e099a0
hex359f1fc

56226300 has 108 divisors (see below), whose sum is σ = 176316840. Its totient is φ = 13827840.

The previous prime is 56226299. The next prime is 56226319. The reversal of 56226300 is 362265.

It is a super-2 number, since 2×562263002 = 6322793623380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50146 + ... + 51254.

Almost surely, 256226300 is an apocalyptic number.

56226300 is a gapful number since it is divisible by the number (50) 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 56226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88158420).

56226300 is an abundant number, since it is smaller than the sum of its proper divisors (120090540).

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

56226300 is a wasteful number, since it uses less digits than its factorization.

56226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56226300 is about 7498.4198335383. The cubic root of 56226300 is about 383.1008966862.

Adding to 56226300 its reverse (362265), we get a palindrome (56588565).

It can be divided in two parts, 562 and 26300, that added together give a palindrome (26862).

The spelling of 56226300 in words is "fifty-six million, two hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1109 1300 1690 1950 2028 2218 2535 3327 3380 3900 4225 4436 5070 5545 6654 8450 10140 11090 12675 13308 14417 16635 16900 22180 25350 27725 28834 33270 43251 50700 55450 57668 66540 72085 83175 86502 110900 144170 166350 173004 187421 216255 288340 332700 360425 374842 432510 562263 720850 749684 865020 937105 1081275 1124526 1441700 1874210 2162550 2249052 2811315 3748420 4325100 4685525 5622630 9371050 11245260 14056575 18742100 28113150 56226300