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221982930 = 2355137027
BaseRepresentation
bin11010011101100…
…11000011010010
3120110200220100000
431032303003102
5423311423210
634005510430
75333552361
oct1516630322
9513626300
10221982930
11104338074
1262412416
1336cb3160
14216a57d8
151474cac0
hexd3b30d2

221982930 has 96 divisors (see below), whose sum is σ = 644664384. Its totient is φ = 54634176.

The previous prime is 221982883. The next prime is 221982967. The reversal of 221982930 is 39289122.

221982930 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 2×2219829302 = 98552842422769800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28077 + ... + 35103.

It is an arithmetic number, because the mean of its divisors is an integer number (6715254).

Almost surely, 2221982930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221982930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322332192).

221982930 is an abundant number, since it is smaller than the sum of its proper divisors (422681454).

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

221982930 is a wasteful number, since it uses less digits than its factorization.

221982930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 221982930 is about 14899.0915830463. The cubic root of 221982930 is about 605.4893747810.

The spelling of 221982930 in words is "two hundred twenty-one million, nine hundred eighty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 7027 10530 14054 15795 21081 31590 35135 42162 63243 70270 91351 105405 126486 182702 189729 210810 274053 316215 379458 456755 548106 569187 632430 822159 913510 948645 1138374 1370265 1644318 1707561 1897290 2466477 2740530 2845935 3415122 4110795 4932954 5691870 7399431 8221590 8537805 12332385 14798862 17075610 22198293 24664770 36997155 44396586 73994310 110991465 221982930