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204201270 = 23357138311
BaseRepresentation
bin11000010101111…
…01110100110110
3112020020111111000
430022331310312
5404233420040
632132424130
75026452660
oct1412756466
9466214430
10204201270
11a52a2489
1258478046
13333c8670
141d197530
1512dd9130
hexc2bdd36

204201270 has 128 divisors (see below), whose sum is σ = 670279680. Its totient is φ = 43079040.

The previous prime is 204201269. The next prime is 204201287. The reversal of 204201270 is 72102402.

It is a super-2 number, since 2×2042012702 = 83396317339225800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20415 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (5236560).

Almost surely, 2204201270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204201270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335139840).

204201270 is an abundant number, since it is smaller than the sum of its proper divisors (466078410).

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

204201270 is a wasteful number, since it uses less digits than its factorization.

204201270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 204201270 is about 14289.9009793630. The cubic root of 204201270 is about 588.8700676052.

Adding to 204201270 its reverse (72102402), we get a palindrome (276303672).

The spelling of 204201270 in words is "two hundred four million, two hundred one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 8311 12285 16622 24570 24933 41555 49866 58177 74799 83110 108043 116354 124665 149598 174531 216086 224397 249330 290885 324129 349062 373995 448794 523593 540215 581770 648258 747990 756301 872655 972387 1047186 1080430 1121985 1512602 1570779 1620645 1745310 1944774 2243970 2268903 2617965 2917161 3141558 3241290 3781505 4537806 4861935 5235930 5834322 6806709 7563010 7853895 9723870 11344515 13613418 14585805 15707790 20420127 22689030 29171610 34033545 40840254 68067090 102100635 204201270