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220505241 = 311192967181
BaseRepresentation
bin11010010010010…
…10010010011001
3120100220211022210
431021022102121
5422422131431
633514105333
75315156265
oct1511122231
9510824283
10220505241
11103518940
1261a1b249
13368b6698
14213dd0a5
1514559d46
hexd24a499

220505241 has 64 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 119750400.

The previous prime is 220505239. The next prime is 220505251. The reversal of 220505241 is 142505022.

It is a happy number.

It is not a de Polignac number, because 220505241 - 21 = 220505239 is a prime.

It is a super-2 number, since 2×2205052412 = 97245122616936162, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220505231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218171 + ... + 1218351.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2220505241 is an apocalyptic number.

It is an amenable number.

220505241 is a deficient number, since it is larger than the sum of its proper divisors (135923559).

220505241 is a wasteful number, since it uses less digits than its factorization.

220505241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 220505241 is about 14849.4188775184. The cubic root of 220505241 is about 604.1428482871.

The spelling of 220505241 in words is "two hundred twenty million, five hundred five thousand, two hundred forty-one".

Divisors: 1 3 11 19 29 33 57 67 87 181 201 209 319 543 551 627 737 957 1273 1653 1943 1991 2211 3439 3819 5249 5829 5973 6061 10317 12127 14003 15747 18183 21373 36381 36917 37829 42009 57739 64119 99731 110751 113487 133397 173217 230413 299193 351683 400191 406087 691239 1055049 1097041 1218261 2534543 3291123 3868513 6681977 7603629 11605539 20045931 73501747 220505241