Search a number
-
+
22064832 = 26331132
BaseRepresentation
bin101010000101…
…0111011000000
31112112000021000
41110022323000
521122033312
62104532000
7355355646
oct124127300
945460230
1022064832
11115006a9
127481000
13475721a
142d05196
151e0cadc
hex150aec0

22064832 has 84 divisors (see below), whose sum is σ = 65445640. Its totient is φ = 7289856.

The previous prime is 22064813. The next prime is 22064849. The reversal of 22064832 is 23846022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×220648322 = 973713622376448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22064796 and 22064805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195208 + ... + 195320.

Almost surely, 222064832 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 22064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32722820).

22064832 is an abundant number, since it is smaller than the sum of its proper divisors (43380808).

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

22064832 is an equidigital number, since it uses as much as digits as its factorization.

22064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22064832 is about 4697.3217901268. The cubic root of 22064832 is about 280.4789083057.

Multiplying 22064832 by its sum of digits (27), we get a square (595750464 = 244082).

22064832 divided by its sum of digits (27) gives a square (817216 = 9042).

The spelling of 22064832 in words is "twenty-two million, sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 864 904 1017 1356 1728 1808 2034 2712 3051 3616 4068 5424 6102 7232 8136 10848 12204 12769 16272 21696 24408 25538 32544 38307 48816 51076 65088 76614 97632 102152 114921 153228 195264 204304 229842 306456 344763 408608 459684 612912 689526 817216 919368 1225824 1379052 1838736 2451648 2758104 3677472 5516208 7354944 11032416 22064832