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201141220 = 22571975617
BaseRepresentation
bin10111111110100…
…10101111100100
3112000111000212211
423333102233210
5402443004340
631543053204
74661446360
oct1377225744
9460430784
10201141220
11a35a2415
1257441204
1332896897
141c9dc2a0
15129d25ea
hexbfd2be4

201141220 has 48 divisors (see below), whose sum is σ = 508152960. Its totient is φ = 65332224.

The previous prime is 201141179. The next prime is 201141221. The reversal of 201141220 is 22141102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201141220.

It is not an unprimeable number, because it can be changed into a prime (201141221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35149 + ... + 40468.

It is an arithmetic number, because the mean of its divisors is an integer number (10586520).

Almost surely, 2201141220 is an apocalyptic number.

201141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201141220 is an abundant number, since it is smaller than the sum of its proper divisors (307011740).

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

201141220 is a wasteful number, since it uses less digits than its factorization.

201141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75652 (or 75650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 201141220 is about 14182.4264496595. The cubic root of 201141220 is about 585.9137545032.

Adding to 201141220 its reverse (22141102), we get a palindrome (223282322).

The spelling of 201141220 in words is "two hundred one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 75617 151234 302468 378085 529319 756170 1058638 1436723 1512340 2117276 2646595 2873446 5293190 5746892 7183615 10057061 10586380 14367230 20114122 28734460 40228244 50285305 100570610 201141220