Search a number
-
+
22848804 = 2235112137
BaseRepresentation
bin101011100101…
…0010100100100
31120222211200000
41113022110210
521322130204
62133421300
7365132406
oct127122444
946884600
1022848804
1111996710
12779a830
134970004
14306ab76
152015039
hex15ca524

22848804 has 72 divisors (see below), whose sum is σ = 65371488. Its totient is φ = 6920640.

The previous prime is 22848797. The next prime is 22848817. The reversal of 22848804 is 40884822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9624 + ... + 11760.

Almost surely, 222848804 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 22848804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32685744).

22848804 is an abundant number, since it is smaller than the sum of its proper divisors (42522684).

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

22848804 is a wasteful number, since it uses less digits than its factorization.

22848804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 22848804 is about 4780.0422592274. The cubic root of 22848804 is about 283.7621661547.

The spelling of 22848804 in words is "twenty-two million, eight hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2137 2673 3564 4274 5346 6411 8548 10692 12822 19233 23507 25644 38466 47014 57699 70521 76932 94028 115398 141042 173097 211563 230796 282084 346194 423126 519291 634689 692388 846252 1038582 1269378 1904067 2077164 2538756 3808134 5712201 7616268 11424402 22848804