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22940016 = 24311231889
BaseRepresentation
bin101011110000…
…0100101110000
31121011110210020
41113200211300
521333040031
62135403440
7365662341
oct127404560
947143706
1022940016
1111a491a0
127823580
1349a2698
1430920c8
152032096
hex15e0970

22940016 has 80 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 6645760.

The previous prime is 22940009. The next prime is 22940053. The reversal of 22940016 is 61004922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11200 + ... + 13088.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 222940016 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 22940016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

22940016 is an abundant number, since it is smaller than the sum of its proper divisors (44555664).

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

22940016 is a wasteful number, since it uses less digits than its factorization.

22940016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22940016 is about 4789.5736762263. The cubic root of 22940016 is about 284.1392559146.

Adding to 22940016 its reverse (61004922), we get a palindrome (83944938).

The spelling of 22940016 in words is "twenty-two million, nine hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 1889 2024 3036 3778 4048 5667 6072 7556 11334 12144 15112 20779 22668 30224 41558 43447 45336 62337 83116 86894 90672 124674 130341 166232 173788 249348 260682 332464 347576 477917 498696 521364 695152 955834 997392 1042728 1433751 1911668 2085456 2867502 3823336 5735004 7646672 11470008 22940016