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22402224 = 2433133989
BaseRepresentation
bin101010101110…
…1010010110000
31120011011002000
41111131102300
521213332344
62120054000
7361262415
oct125352260
946134060
1022402224
1111711139
127604300
134844970
142d9210c
151e77a69
hex155d4b0

22402224 has 80 divisors (see below), whose sum is σ = 69266400. Its totient is φ = 6891264.

The previous prime is 22402223. The next prime is 22402271. The reversal of 22402224 is 42220422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22402197 and 22402206.

It is not an unprimeable number, because it can be changed into a prime (22402223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 222402224 is an apocalyptic number.

22402224 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 22402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633200).

22402224 is an abundant number, since it is smaller than the sum of its proper divisors (46864176).

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

22402224 is a wasteful number, since it uses less digits than its factorization.

22402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22402224 is about 4733.0987735309. The cubic root of 22402224 is about 281.9012782550.

Adding to 22402224 its reverse (42220422), we get a palindrome (64622646).

The spelling of 22402224 in words is "twenty-two million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3989 5616 7978 11967 15956 23934 31912 35901 47868 51857 63824 71802 95736 103714 107703 143604 155571 191472 207428 215406 287208 311142 414856 430812 466713 574416 622284 829712 861624 933426 1244568 1400139 1723248 1866852 2489136 2800278 3733704 5600556 7467408 11201112 22402224