Search a number
-
+
22664544 = 2537291163
BaseRepresentation
bin101011001110…
…1010101100000
31120122110220120
41112131111200
521300231134
62125440240
7363434250
oct126352540
946573816
1022664544
1111880231
127710080
134907196
14301d960
151eca649
hex159d560

22664544 has 96 divisors (see below), whose sum is σ = 70398720. Its totient is φ = 6246912.

The previous prime is 22664533. The next prime is 22664567. The reversal of 22664544 is 44546622.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18907 + ... + 20069.

It is an arithmetic number, because the mean of its divisors is an integer number (733320).

Almost surely, 222664544 is an apocalyptic number.

22664544 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 22664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199360).

22664544 is an abundant number, since it is smaller than the sum of its proper divisors (47734176).

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

22664544 is a wasteful number, since it uses less digits than its factorization.

22664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 22664544 is about 4760.7293558866. The cubic root of 22664544 is about 282.9973237853.

The spelling of 22664544 in words is "twenty-two million, six hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1163 1218 1392 1624 2326 2436 2784 3248 3489 4652 4872 6496 6978 8141 9304 9744 13956 16282 18608 19488 24423 27912 32564 33727 37216 48846 55824 65128 67454 97692 101181 111648 130256 134908 195384 202362 236089 260512 269816 390768 404724 472178 539632 708267 781536 809448 944356 1079264 1416534 1618896 1888712 2833068 3237792 3777424 5666136 7554848 11332272 22664544