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20221684 = 22737131149
BaseRepresentation
bin100110100100…
…0111011110100
31102001100221021
41031020323310
520134043214
62001230524
7333611230
oct115107364
942040837
1020221684
111046193a
126932444
1342602c2
1429855c0
151b96924
hex1348ef4

20221684 has 48 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 8311680.

The previous prime is 20221679. The next prime is 20221693. The reversal of 20221684 is 48612202.

20221684 = T447 + T448 + ... + T594.

It is a happy number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 135642 + ... + 135790.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 220221684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

20221684 is an abundant number, since it is smaller than the sum of its proper divisors (21912716).

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

20221684 is a wasteful number, since it uses less digits than its factorization.

20221684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20221684 is about 4496.8526771510. The cubic root of 20221684 is about 272.4409837687.

Adding to 20221684 its reverse (48612202), we get a palindrome (68833886).

The spelling of 20221684 in words is "twenty million, two hundred twenty-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 37 74 131 148 149 259 262 298 518 524 596 917 1036 1043 1834 2086 3668 4172 4847 5513 9694 11026 19388 19519 22052 33929 38591 39038 67858 77182 78076 135716 136633 154364 273266 546532 722203 1444406 2888812 5055421 10110842 20221684