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201166240 = 25511114299
BaseRepresentation
bin10111111110110…
…00110110100000
3112000112022012111
423333120312200
5402444304430
631543405104
74661612332
oct1377306640
9460468174
10201166240
11a360a1a0
1257453794
13328a50a2
141ca07452
15129d9c2a
hexbfd8da0

201166240 has 48 divisors (see below), whose sum is σ = 518464800. Its totient is φ = 73150720.

The previous prime is 201166193. The next prime is 201166247. The reversal of 201166240 is 42661102.

It is a super-2 number, since 2×2011662402 = 80935712231475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (201166247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55390 + ... + 58909.

It is an arithmetic number, because the mean of its divisors is an integer number (10801350).

Almost surely, 2201166240 is an apocalyptic number.

201166240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201166240 is an abundant number, since it is smaller than the sum of its proper divisors (317298560).

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

201166240 is a wasteful number, since it uses less digits than its factorization.

201166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114325 (or 114317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 201166240 is about 14183.3084997824. The cubic root of 201166240 is about 585.9380474756.

The spelling of 201166240 in words is "two hundred one million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 114299 228598 457196 571495 914392 1142990 1257289 1828784 2285980 2514578 3657568 4571960 5029156 6286445 9143920 10058312 12572890 18287840 20116624 25145780 40233248 50291560 100583120 201166240