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221132220 = 223521117467
BaseRepresentation
bin11010010111000…
…11010110111100
3120102002200101020
431023203112330
5423102212340
633535344140
75323410231
oct1513432674
9512080336
10221132220
11103906a01
1262082050
1336a75b8a
1421523788
15146309d0
hexd2e35bc

221132220 has 48 divisors (see below), whose sum is σ = 622140288. Its totient is φ = 58685760.

The previous prime is 221132167. The next prime is 221132251. The reversal of 221132220 is 22231122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221132220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3927 + ... + 21393.

It is an arithmetic number, because the mean of its divisors is an integer number (12961256).

Almost surely, 2221132220 is an apocalyptic number.

221132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132220 is an abundant number, since it is smaller than the sum of its proper divisors (401008068).

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

221132220 is a wasteful number, since it uses less digits than its factorization.

221132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17690 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221132220 is about 14870.5151222142. The cubic root of 221132220 is about 604.7149079111.

Adding to 221132220 its reverse (22231122), we get a palindrome (243363342).

The spelling of 221132220 in words is "two hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 844 1055 1266 2110 2532 3165 4220 6330 12660 17467 34934 52401 69868 87335 104802 174670 209604 262005 349340 524010 1048020 3685537 7371074 11056611 14742148 18427685 22113222 36855370 44226444 55283055 73710740 110566110 221132220