Search a number
-
+
201888225 = 325271143271
BaseRepresentation
bin11000000100010…
…01000111100001
3112001212222120200
430002021013201
5403140410400
632011055413
75001010260
oct1402110741
9461788520
10201888225
11a3a62680
1257741569
1332a988b6
141cb545d7
1512acdb00
hexc0891e1

201888225 has 144 divisors (see below), whose sum is σ = 463017984. Its totient is φ = 81648000.

The previous prime is 201888221. The next prime is 201888251. The reversal of 201888225 is 522888102.

It is a happy number.

It is not a de Polignac number, because 201888225 - 22 = 201888221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201888225.

It is not an unprimeable number, because it can be changed into a prime (201888221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 744840 + ... + 745110.

Almost surely, 2201888225 is an apocalyptic number.

201888225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201888225 is an abundant number, since it is smaller than the sum of its proper divisors (261129759).

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

201888225 is a wasteful number, since it uses less digits than its factorization.

201888225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 201888225 is about 14208.7376286565. The cubic root of 201888225 is about 586.6381871434.

The spelling of 201888225 in words is "two hundred one million, eight hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 43 45 55 63 75 77 99 105 129 165 175 215 225 231 271 275 301 315 385 387 473 495 525 645 693 813 825 903 1075 1155 1355 1419 1505 1575 1897 1925 1935 2365 2439 2475 2709 2981 3225 3311 3465 4065 4257 4515 5691 5775 6775 7095 7525 8943 9485 9675 9933 11653 11825 12195 13545 14905 16555 17073 17325 20325 20867 21285 22575 26829 28455 29799 34959 35475 44715 47425 49665 58265 60975 62601 67725 74525 81571 82775 85365 104335 104877 106425 128183 134145 142275 148995 174795 187803 223575 244713 248325 291325 313005 384549 407855 426825 521675 524385 640915 670725 734139 744975 873975 897281 939015 1153647 1223565 1565025 1922745 2039275 2621925 2691843 3204575 3670695 4486405 4695075 5768235 6117825 8075529 9613725 13459215 18353475 22432025 28841175 40377645 67296075 201888225