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22016484 = 2232731783
BaseRepresentation
bin101001111111…
…1000111100100
31112102112221100
41103333013210
521114011414
62103520100
7355065000
oct123770744
945375840
1022016484
1111478346
127459030
13473b209
142cd1700
151ded609
hex14ff1e4

22016484 has 72 divisors (see below), whose sum is σ = 64937600. Its totient is φ = 6286896.

The previous prime is 22016471. The next prime is 22016507. The reversal of 22016484 is 48461022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11457 + ... + 13239.

Almost surely, 222016484 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 22016484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32468800).

22016484 is an abundant number, since it is smaller than the sum of its proper divisors (42921116).

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

22016484 is a wasteful number, since it uses less digits than its factorization.

22016484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22016484 is about 4692.1726310953. The cubic root of 22016484 is about 280.2738986491.

It can be divided in two parts, 22016 and 484, that added together give a square (22500 = 1502).

The spelling of 22016484 in words is "twenty-two million, sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 1783 2058 3087 3566 4116 5349 6174 7132 10698 12348 12481 16047 21396 24962 32094 37443 49924 64188 74886 87367 112329 149772 174734 224658 262101 349468 449316 524202 611569 786303 1048404 1223138 1572606 1834707 2446276 3145212 3669414 5504121 7338828 11008242 22016484