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22420332 = 22321125147
BaseRepresentation
bin101010110000…
…1101101101100
31120012001220200
41111201231230
521214422312
62120313500
7361366254
oct125415554
946161820
1022420332
1111723800
127612890
13484cc8c
142d98964
151e7d0dc
hex1561b6c

22420332 has 54 divisors (see below), whose sum is σ = 62306244. Its totient is φ = 6792720.

The previous prime is 22420327. The next prime is 22420337. The reversal of 22420332 is 23302422.

It is an interprime number because it is at equal distance from previous prime (22420327) and next prime (22420337).

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

It is not an unprimeable number, because it can be changed into a prime (22420337) 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 17 ways as a sum of consecutive naturals, for example, 1783 + ... + 6929.

Almost surely, 222420332 is an apocalyptic number.

22420332 is a gapful number since it is divisible by the number (22) 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 22420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153122).

22420332 is an abundant number, since it is smaller than the sum of its proper divisors (39885912).

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

22420332 is a wasteful number, since it uses less digits than its factorization.

22420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22420332 is about 4735.0112988250. The cubic root of 22420332 is about 281.9772125845.

Adding to 22420332 its reverse (23302422), we get a palindrome (45722754).

The spelling of 22420332 in words is "twenty-two million, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5147 10294 15441 20588 30882 46323 56617 61764 92646 113234 169851 185292 226468 339702 509553 622787 679404 1019106 1245574 1868361 2038212 2491148 3736722 5605083 7473444 11210166 22420332