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20032224 = 253712939
BaseRepresentation
bin100110001101…
…0101011100000
31101200202001020
41030122223200
520112012344
61553205440
7332161662
oct114325340
941622036
1020032224
1110342563
126860880
1341c4cb4
142936532
151b5a719
hex131aae0

20032224 has 48 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 6581120.

The previous prime is 20032193. The next prime is 20032237. The reversal of 20032224 is 42223002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5347 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 220032224 is an apocalyptic number.

20032224 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 20032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

20032224 is an abundant number, since it is smaller than the sum of its proper divisors (33311136).

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

20032224 is a wasteful number, since it uses less digits than its factorization.

20032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20032224 is about 4475.7372577040. The cubic root of 20032224 is about 271.5874657568.

Adding to 20032224 its reverse (42223002), we get a palindrome (62255226).

The spelling of 20032224 in words is "twenty million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 2939 3408 5878 6816 8817 11756 17634 23512 35268 47024 70536 94048 141072 208669 282144 417338 626007 834676 1252014 1669352 2504028 3338704 5008056 6677408 10016112 20032224