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22664016 = 2433232281
BaseRepresentation
bin101011001110…
…1001101010000
31120122110012000
41112131031100
521300222031
62125434000
7363432564
oct126351520
946573160
1022664016
111187a8a1
12770b900
134906b7b
14301d6a4
151eca3e6
hex159d350

22664016 has 80 divisors (see below), whose sum is σ = 67912320. Its totient is φ = 7223040.

The previous prime is 22664003. The next prime is 22664027. The reversal of 22664016 is 61046622.

It is a happy number.

22664016 is a `hidden beast` number, since 2 + 2 + 6 + 640 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8796 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (848904).

Almost surely, 222664016 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 22664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956160).

22664016 is an abundant number, since it is smaller than the sum of its proper divisors (45248304).

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

22664016 is a wasteful number, since it uses less digits than its factorization.

22664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22664016 is about 4760.6739018757. The cubic root of 22664016 is about 282.9951261714.

The spelling of 22664016 in words is "twenty-two million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2281 2484 3312 4562 4968 6843 9124 9936 13686 18248 20529 27372 36496 41058 52463 54744 61587 82116 104926 109488 123174 157389 164232 209852 246348 314778 328464 419704 472167 492696 629556 839408 944334 985392 1259112 1416501 1888668 2518224 2833002 3777336 5666004 7554672 11332008 22664016