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22066016 = 257234283
BaseRepresentation
bin101010000101…
…1001101100000
31112112001212212
41110023031200
521122103031
62104541252
7355362260
oct124131540
945461785
1022066016
1111501585
127481828
13475791b
142d057a0
151e0d12b
hex150b360

22066016 has 48 divisors (see below), whose sum is σ = 51819264. Its totient is φ = 9043584.

The previous prime is 22066007. The next prime is 22066021. The reversal of 22066016 is 61066022.

It is a super-2 number, since 2×220660162 = 973818124224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 22065982 and 22066000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3011 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 222066016 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 22066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632).

22066016 is an abundant number, since it is smaller than the sum of its proper divisors (29753248).

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

22066016 is a wasteful number, since it uses less digits than its factorization.

22066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 22066016 is about 4697.4478176985. The cubic root of 22066016 is about 280.4839250534.

The spelling of 22066016 in words is "twenty-two million, sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 4283 5152 8566 17132 29981 34264 59962 68528 98509 119924 137056 197018 239848 394036 479696 689563 788072 959392 1379126 1576144 2758252 3152288 5516504 11033008 22066016