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201025890 = 232513199043
BaseRepresentation
bin10111111101101…
…10100101100010
3112000021011200100
423332312211202
5402430312030
631540403230
74660456212
oct1376664542
9460234610
10201025890
11a35237aa
12573a6516
1332856240
141c9ac242
15129ad360
hexbfb6962

201025890 has 96 divisors (see below), whose sum is σ = 592562880. Its totient is φ = 46873728.

The previous prime is 201025861. The next prime is 201025897. The reversal of 201025890 is 98520102.

It is a super-2 number, since 2×2010258902 = 80822816900584200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201025897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17709 + ... + 26751.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2201025890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201025890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

201025890 is an abundant number, since it is smaller than the sum of its proper divisors (391536990).

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

201025890 is a wasteful number, since it uses less digits than its factorization.

201025890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 201025890 is about 14178.3599192572. The cubic root of 201025890 is about 585.8017496931.

Adding to 201025890 its reverse (98520102), we get a palindrome (299545992).

The spelling of 201025890 in words is "two hundred one million, twenty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 9043 11115 18086 22230 27129 45215 54258 81387 90430 117559 135645 162774 171817 235118 271290 343634 352677 406935 515451 587795 705354 813870 859085 1030902 1058031 1175590 1546353 1718170 1763385 2116062 2233621 2577255 3092706 3526770 4467242 5154510 5290155 6700863 7731765 10580310 11168105 13401726 15463530 20102589 22336210 33504315 40205178 67008630 100512945 201025890