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221113350 = 232525373127
BaseRepresentation
bin11010010110111…
…10110000000110
3120102001201111100
431023132300012
5423101111400
633535120530
75323301223
oct1513366006
9512051440
10221113350
111038a3807
1262073146
1336a6a403
142151a94a
151462a100
hexd2dec06

221113350 has 144 divisors (see below), whose sum is σ = 618388992. Its totient is φ = 56609280.

The previous prime is 221113331. The next prime is 221113363. The reversal of 221113350 is 53311122.

221113350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211133502 = 97782227096445000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1740987 + ... + 1741113.

It is an arithmetic number, because the mean of its divisors is an integer number (4294368).

Almost surely, 2221113350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221113350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309194496).

221113350 is an abundant number, since it is smaller than the sum of its proper divisors (397275642).

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

221113350 is a wasteful number, since it uses less digits than its factorization.

221113350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 221113350 is about 14869.8806316661. The cubic root of 221113350 is about 604.6977065961.

Adding to 221113350 its reverse (53311122), we get a palindrome (274424472).

The spelling of 221113350 in words is "two hundred twenty-one million, one hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 73 75 90 106 127 146 150 159 219 225 254 265 318 365 381 438 450 477 530 635 657 730 762 795 954 1095 1143 1270 1314 1325 1590 1825 1905 2190 2286 2385 2650 3175 3285 3650 3810 3869 3975 4770 5475 5715 6350 6570 6731 7738 7950 9271 9525 10950 11430 11607 11925 13462 16425 18542 19050 19345 20193 23214 23850 27813 28575 32850 33655 34821 38690 40386 46355 55626 57150 58035 60579 67310 69642 83439 92710 96725 100965 116070 121158 139065 166878 168275 174105 193450 201930 231775 278130 290175 302895 336550 348210 417195 463550 491363 504825 580350 605790 695325 834390 870525 982726 1009650 1390650 1474089 1514475 1741050 2085975 2456815 2948178 3028950 4171950 4422267 4913630 7370445 8844534 12284075 14740890 22111335 24568150 36852225 44222670 73704450 110556675 221113350