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20022432 = 253415087
BaseRepresentation
bin100110001100…
…0010010100000
31101200020121120
41030120102200
520111204212
61553052240
7332121303
oct114302240
941606546
1020022432
1110336171
126857080
1341c06c1
142932b3a
151b5788c
hex13184a0

20022432 has 48 divisors (see below), whose sum is σ = 53851392. Its totient is φ = 6510080.

The previous prime is 20022427. The next prime is 20022437. The reversal of 20022432 is 23422002.

It is an interprime number because it is at equal distance from previous prime (20022427) and next prime (20022437).

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

It is not an unprimeable number, because it can be changed into a prime (20022437) 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, 1393 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (1121904).

Almost surely, 220022432 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 20022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925696).

20022432 is an abundant number, since it is smaller than the sum of its proper divisors (33828960).

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

20022432 is a wasteful number, since it uses less digits than its factorization.

20022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5133 counting only the distinct ones).

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

The square root of 20022432 is about 4474.6432260014. The cubic root of 20022432 is about 271.5432067686.

Adding to 20022432 its reverse (23422002), we get a palindrome (43444434).

The spelling of 20022432 in words is "twenty million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 5087 10174 15261 20348 30522 40696 61044 81392 122088 162784 208567 244176 417134 488352 625701 834268 1251402 1668536 2502804 3337072 5005608 6674144 10011216 20022432