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201201264 = 243211373433
BaseRepresentation
bin10111111111000…
…01011001110000
3112000121002020200
423333201121300
5403001420024
631544235200
74662116415
oct1377413160
9460532220
10201201264
11a3633540
125746bb00
13328b8004
141ca1610c
15129e52c9
hexbfe1670

201201264 has 120 divisors (see below), whose sum is σ = 631059312. Its totient is φ = 59304960.

The previous prime is 201201251. The next prime is 201201271. The reversal of 201201264 is 462102102.

201201264 is a `hidden beast` number, since 201 + 201 + 264 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56892 + ... + 60324.

Almost surely, 2201201264 is an apocalyptic number.

201201264 is a gapful number since it is divisible by the number (24) 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 201201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315529656).

201201264 is an abundant number, since it is smaller than the sum of its proper divisors (429858048).

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

201201264 is a wasteful number, since it uses less digits than its factorization.

201201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201201264 is about 14184.5431368092. The cubic root of 201201264 is about 585.9720503701.

Adding to 201201264 its reverse (462102102), we get a palindrome (663303366).

The spelling of 201201264 in words is "two hundred one million, two hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3433 3663 4884 5328 6512 6866 7326 9768 10299 13732 14652 19536 20598 27464 29304 30897 37763 41196 54928 58608 61794 75526 82392 113289 123588 127021 151052 164784 226578 247176 254042 302104 339867 381063 453156 494352 508084 604208 679734 762126 906312 1016168 1143189 1359468 1397231 1524252 1812624 2032336 2286378 2718936 2794462 3048504 4191693 4572756 5437872 5588924 6097008 8383386 9145512 11177848 12575079 16766772 18291024 22355696 25150158 33533544 50300316 67067088 100600632 201201264