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22224840 = 233511113149
BaseRepresentation
bin101010011000…
…1111111001000
31112211010202020
41110301333020
521142143330
62112204440
7356623311
oct124617710
945733666
1022224840
11115aa940
127539720
1347b1cc1
142d47608
151e40210
hex1531fc8

22224840 has 128 divisors (see below), whose sum is σ = 73872000. Its totient is φ = 5304320.

The previous prime is 22224823. The next prime is 22224847. The reversal of 22224840 is 4842222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22224840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149086 + ... + 149234.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 222224840 is an apocalyptic number.

22224840 is a gapful number since it is divisible by the number (20) 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 22224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936000).

22224840 is an abundant number, since it is smaller than the sum of its proper divisors (51647160).

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

22224840 is a wasteful number, since it uses less digits than its factorization.

22224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22224840 is about 4714.3228569965. The cubic root of 22224840 is about 281.1552609302.

The spelling of 22224840 in words is "twenty-two million, two hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 149 165 220 226 264 298 330 339 440 447 452 565 596 660 678 745 894 904 1130 1192 1243 1320 1356 1490 1639 1695 1788 2235 2260 2486 2712 2980 3278 3390 3576 3729 4470 4520 4917 4972 5960 6215 6556 6780 7458 8195 8940 9834 9944 12430 13112 13560 14916 16390 16837 17880 18645 19668 24585 24860 29832 32780 33674 37290 39336 49170 49720 50511 65560 67348 74580 84185 98340 101022 134696 149160 168370 185207 196680 202044 252555 336740 370414 404088 505110 555621 673480 740828 926035 1010220 1111242 1481656 1852070 2020440 2222484 2778105 3704140 4444968 5556210 7408280 11112420 22224840