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221985036 = 22347137529
BaseRepresentation
bin11010011101100…
…11100100001100
3120110201000020000
431032303210030
5423312010121
634005524300
75333561460
oct1516634414
9513630200
10221985036
11104339709
1262413690
1336cb40c0
14216a64a0
151474d526
hexd3b390c

221985036 has 120 divisors (see below), whose sum is σ = 714325920. Its totient is φ = 58537728.

The previous prime is 221985019. The next prime is 221985059. The reversal of 221985036 is 630589122.

221985036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25720 + ... + 33248.

It is an arithmetic number, because the mean of its divisors is an integer number (5952716).

Almost surely, 2221985036 is an apocalyptic number.

221985036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221985036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357162960).

221985036 is an abundant number, since it is smaller than the sum of its proper divisors (492340884).

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

221985036 is a wasteful number, since it uses less digits than its factorization.

221985036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 221985036 is about 14899.1622583285. The cubic root of 221985036 is about 605.4912895778.

The spelling of 221985036 in words is "two hundred twenty-one million, nine hundred eighty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 7529 9828 14742 15058 22587 29484 30116 45174 52703 67761 90348 97877 105406 135522 158109 195754 203283 210812 271044 293631 316218 391508 406566 474327 587262 609849 632436 685139 813132 880893 948654 1174524 1219698 1370278 1422981 1761786 1897308 2055417 2439396 2642679 2740556 2845962 3523572 4110834 4268943 5285358 5691924 6166251 7928037 8221668 8537886 10570716 12332502 15856074 17075772 18498753 24665004 31712148 36997506 55496259 73995012 110992518 221985036