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201204300 = 2235211193209
BaseRepresentation
bin10111111111000…
…10001001001100
3112000121020102010
423333202021030
5403002014200
631544301220
74662131313
oct1377421114
9460536363
10201204300
11a3635850
1257471810
13328b94cb
141ca1727a
15129e6150
hexbfe224c

201204300 has 144 divisors (see below), whose sum is σ = 668707200. Its totient is φ = 46195200.

The previous prime is 201204277. The next prime is 201204331. The reversal of 201204300 is 3402102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61096 + ... + 64304.

It is an arithmetic number, because the mean of its divisors is an integer number (4643800).

Almost surely, 2201204300 is an apocalyptic number.

201204300 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 201204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334353600).

201204300 is an abundant number, since it is smaller than the sum of its proper divisors (467502900).

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

201204300 is a wasteful number, since it uses less digits than its factorization.

201204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201204300 is about 14184.6501543041. The cubic root of 201204300 is about 585.9749976714.

Adding to 201204300 its reverse (3402102), we get a palindrome (204606402).

The spelling of 201204300 in words is "two hundred one million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3209 3300 4180 5225 5700 6270 6418 9627 10450 12540 12836 15675 16045 19254 20900 31350 32090 35299 38508 48135 60971 62700 64180 70598 80225 96270 105897 121942 141196 160450 176495 182913 192540 211794 240675 243884 304855 320900 352990 365826 423588 481350 529485 609710 670681 705980 731652 882475 914565 962700 1058970 1219420 1341362 1524275 1764950 1829130 2012043 2117940 2647425 2682724 3048550 3353405 3529900 3658260 4024086 4572825 5294850 6097100 6706810 8048172 9145650 10060215 10589700 13413620 16767025 18291300 20120430 33534050 40240860 50301075 67068100 100602150 201204300