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200773485 = 34511217241
BaseRepresentation
bin10111111011110…
…00111101101101
3111222210100110000
423331320331231
5402344222420
631531134513
74655355303
oct1375707555
9458710400
10200773485
11a3371100
12572a4439
13327983a3
141c944273
151295d690
hexbf78f6d

200773485 has 120 divisors (see below), whose sum is σ = 420606648. Its totient is φ = 91238400.

The previous prime is 200773483. The next prime is 200773499. The reversal of 200773485 is 584377002.

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 136469124 = 8019^2 + 11682^2 .

It is not a de Polignac number, because 200773485 - 21 = 200773483 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200773481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 832965 + ... + 833205.

Almost surely, 2200773485 is an apocalyptic number.

It is an amenable number.

200773485 is an abundant number, since it is smaller than the sum of its proper divisors (219833163).

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

200773485 is a wasteful number, since it uses less digits than its factorization.

200773485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 200773485 is about 14169.4560587201. The cubic root of 200773485 is about 585.5564724685.

The spelling of 200773485 in words is "two hundred million, seven hundred seventy-three thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 121 135 153 165 187 241 255 297 363 405 459 495 561 605 723 765 891 935 1089 1205 1377 1485 1683 1815 2057 2169 2295 2651 2805 3267 3615 4097 4455 5049 5445 6171 6507 6885 7953 8415 9801 10285 10845 12291 13255 15147 16335 18513 19521 20485 23859 25245 29161 30855 32535 36873 39765 45067 49005 55539 61455 71577 75735 87483 92565 97605 110619 119295 135201 145805 166617 184365 214731 225335 262449 277695 331857 357885 405603 437415 495737 553095 676005 787347 833085 1073655 1216809 1312245 1487211 1659285 2028015 2362041 2478685 3650427 3936735 4461633 6084045 7436055 11810205 13384899 18252135 22308165 40154697 66924495 200773485