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221241330 = 23254159957
BaseRepresentation
bin11010010111111…
…01111111110010
3120102022020001100
431023331333302
5423114210310
633541545230
75324343312
oct1513757762
9512266040
10221241330
11103980982
1262115216
1336ab373b
1421551442
1514652ec0
hexd2fdff2

221241330 has 48 divisors (see below), whose sum is σ = 589267224. Its totient is φ = 57557760.

The previous prime is 221241313. The next prime is 221241331. The reversal of 221241330 is 33142122.

221241330 is a `hidden beast` number, since 221 + 2 + 413 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94070601 + 127170729 = 9699^2 + 11277^2 .

It is a super-2 number, since 2×2212413302 = 97895452200337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221241331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26289 + ... + 33668.

Almost surely, 2221241330 is an apocalyptic number.

221241330 is an abundant number, since it is smaller than the sum of its proper divisors (368025894).

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

221241330 is a wasteful number, since it uses less digits than its factorization.

221241330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60011 (or 60008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221241330 is about 14874.1833389265. The cubic root of 221241330 is about 604.8143500679.

Adding to 221241330 its reverse (33142122), we get a palindrome (254383452).

The spelling of 221241330 in words is "two hundred twenty-one million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 59957 119914 179871 299785 359742 539613 599570 899355 1079226 1798710 2458237 2698065 4916474 5396130 7374711 12291185 14749422 22124133 24582370 36873555 44248266 73747110 110620665 221241330