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201255300 = 223352131569
BaseRepresentation
bin10111111111011…
…10100110000100
3112000200211101000
423333232212010
5403010132200
631545333300
74662433101
oct1377564604
9460624330
10201255300
11a36700a4
1257497230
133290679c
141ca2baa8
1512a06300
hexbfee984

201255300 has 144 divisors (see below), whose sum is σ = 653083200. Its totient is φ = 53164800.

The previous prime is 201255293. The next prime is 201255323. The reversal of 201255300 is 3552102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 353416 + ... + 353984.

It is an arithmetic number, because the mean of its divisors is an integer number (4535300).

Almost surely, 2201255300 is an apocalyptic number.

201255300 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 201255300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

201255300 is an abundant number, since it is smaller than the sum of its proper divisors (451827900).

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

201255300 is a wasteful number, since it uses less digits than its factorization.

201255300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 201255300 is about 14186.4477583361. The cubic root of 201255300 is about 586.0245032406.

It can be divided in two parts, 20125 and 5300, that added together give a triangular number (25425 = T225).

The spelling of 201255300 in words is "two hundred one million, two hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 131 135 150 180 225 262 270 300 393 450 524 540 569 655 675 786 900 1138 1179 1310 1350 1572 1707 1965 2276 2358 2620 2700 2845 3275 3414 3537 3930 4716 5121 5690 5895 6550 6828 7074 7860 8535 9825 10242 11380 11790 13100 14148 14225 15363 17070 17685 19650 20484 23580 25605 28450 29475 30726 34140 35370 39300 42675 51210 56900 58950 61452 70740 74539 76815 85350 88425 102420 117900 128025 149078 153630 170700 176850 223617 256050 298156 307260 353700 372695 384075 447234 512100 670851 745390 768150 894468 1118085 1341702 1490780 1536300 1863475 2012553 2236170 2683404 3354255 3726950 4025106 4472340 5590425 6708510 7453900 8050212 10062765 11180850 13417020 16771275 20125530 22361700 33542550 40251060 50313825 67085100 100627650 201255300