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22116984 = 23323103389
BaseRepresentation
bin101010001011…
…1101001111000
31112121122210120
41110113221320
521130220414
62110013240
7355664001
oct124275170
945548716
1022116984
11115368aa
1274a7220
134774b96
142d1a1a8
151e1d2a9
hex1517a78

22116984 has 64 divisors (see below), whose sum is σ = 58406400. Its totient is φ = 6965376.

The previous prime is 22116977. The next prime is 22116989. The reversal of 22116984 is 48961122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22116989) 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 15 ways as a sum of consecutive naturals, for example, 56662 + ... + 57050.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 222116984 is an apocalyptic number.

22116984 is a gapful number since it is divisible by the number (24) 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 22116984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29203200).

22116984 is an abundant number, since it is smaller than the sum of its proper divisors (36289416).

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

22116984 is a wasteful number, since it uses less digits than its factorization.

22116984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 22116984 is about 4702.8697621771. The cubic root of 22116984 is about 280.6997125654.

It can be divided in two parts, 221 and 16984, that added together give a triangular number (17205 = T185).

The spelling of 22116984 in words is "twenty-two million, one hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 184 206 276 309 389 412 552 618 778 824 1167 1236 1556 2334 2369 2472 3112 4668 4738 7107 8947 9336 9476 14214 17894 18952 26841 28428 35788 40067 53682 56856 71576 80134 107364 120201 160268 214728 240402 320536 480804 921541 961608 1843082 2764623 3686164 5529246 7372328 11058492 22116984