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221414130 = 232572912119
BaseRepresentation
bin11010011001010…
…00001011110010
3120102122000002100
431030220023302
5423140223010
633545401230
75325663150
oct1514501362
9512560070
10221414130
11103a89793
1262199216
1336b442a2
14215983d0
15146892c0
hexd3282f2

221414130 has 96 divisors (see below), whose sum is σ = 680659200. Its totient is φ = 48859776.

The previous prime is 221414129. The next prime is 221414143. The reversal of 221414130 is 31414122.

221414130 is a `hidden beast` number, since 221 + 414 + 1 + 30 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12211 + ... + 24329.

It is an arithmetic number, because the mean of its divisors is an integer number (7090200).

Almost surely, 2221414130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340329600).

221414130 is an abundant number, since it is smaller than the sum of its proper divisors (459245070).

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

221414130 is a wasteful number, since it uses less digits than its factorization.

221414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221414130 is about 14879.9909274166. The cubic root of 221414130 is about 604.9717720136.

Adding to 221414130 its reverse (31414122), we get a palindrome (252828252).

The spelling of 221414130 in words is "two hundred twenty-one million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 6090 9135 12119 18270 24238 36357 60595 72714 84833 109071 121190 169666 181785 218142 254499 351451 363570 424165 508998 545355 702902 763497 848330 1054353 1090710 1272495 1526994 1757255 2108706 2460157 2544990 3163059 3514510 3817485 4920314 5271765 6326118 7380471 7634970 10543530 12300785 14760942 15815295 22141413 24601570 31630590 36902355 44282826 73804710 110707065 221414130