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22013208 = 2334723211
BaseRepresentation
bin101001111111…
…0010100011000
31112102101110000
41103332110120
521113410313
62103453000
7355052310
oct123762430
945371400
1022013208
1111475938
127457160
134739889
142cd0440
151dec673
hex14fe518

22013208 has 160 divisors (see below), whose sum is σ = 73877760. Its totient is φ = 5987520.

The previous prime is 22013203. The next prime is 22013209. The reversal of 22013208 is 80231022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013203) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 104223 + ... + 104433.

It is an arithmetic number, because the mean of its divisors is an integer number (461736).

Almost surely, 222013208 is an apocalyptic number.

22013208 is a gapful number since it is divisible by the number (28) 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 22013208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36938880).

22013208 is an abundant number, since it is smaller than the sum of its proper divisors (51864552).

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

22013208 is a wasteful number, since it uses less digits than its factorization.

22013208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

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

The square root of 22013208 is about 4691.8235260930. The cubic root of 22013208 is about 280.2599965983.

The spelling of 22013208 in words is "twenty-two million, thirteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 211 216 252 276 322 324 378 414 422 483 504 552 567 621 633 644 648 756 828 844 966 1134 1242 1266 1288 1449 1477 1512 1656 1688 1863 1899 1932 2268 2484 2532 2898 2954 3726 3798 3864 4347 4431 4536 4853 4968 5064 5697 5796 5908 7452 7596 8694 8862 9706 11394 11592 11816 13041 13293 14559 14904 15192 17091 17388 17724 19412 22788 26082 26586 29118 33971 34182 34776 35448 38824 39879 43677 45576 52164 53172 58236 67942 68364 79758 87354 101913 104328 106344 116472 119637 131031 135884 136728 159516 174708 203826 239274 262062 271768 305739 319032 349416 393093 407652 478548 524124 611478 786186 815304 917217 957096 1048248 1222956 1572372 1834434 2445912 2751651 3144744 3668868 5503302 7337736 11006604 22013208