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22220224 = 2613171571
BaseRepresentation
bin101010011000…
…0110111000000
31112210220102021
41110300313000
521142021344
62112131224
7356603665
oct124606700
945726367
1022220224
11115a7424
127536b14
1347acb80
142d45a6c
151e3db84
hex1530dc0

22220224 has 56 divisors (see below), whose sum is σ = 50310288. Its totient is φ = 9646080.

The previous prime is 22220213. The next prime is 22220227. The reversal of 22220224 is 42202222.

It is a super-2 number, since 2×222202242 = 987476709220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22220198 and 22220207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13359 + ... + 14929.

It is an arithmetic number, because the mean of its divisors is an integer number (898398).

Almost surely, 222220224 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 22220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155144).

22220224 is an abundant number, since it is smaller than the sum of its proper divisors (28090064).

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

22220224 is a wasteful number, since it uses less digits than its factorization.

22220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22220224 is about 4713.8332596731. The cubic root of 22220224 is about 281.1357946852.

Adding to 22220224 its reverse (42202222), we get a palindrome (64422446).

The spelling of 22220224 in words is "twenty-two million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1571 1768 3142 3536 6284 7072 12568 14144 20423 25136 26707 40846 50272 53414 81692 100544 106828 163384 213656 326768 347191 427312 653536 694382 854624 1307072 1388764 1709248 2777528 5555056 11110112 22220224