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20226024 = 23347413
BaseRepresentation
bin100110100100…
…1111111101000
31102001120220000
41031021333220
520134213044
62001303000
7333630000
oct115117750
942046800
1020226024
1110465125
126934a60
134262280
142987000
151b97d69
hex1349fe8

20226024 has 200 divisors, whose sum is σ = 71173410. Its totient is φ = 5334336.

The previous prime is 20226023. The next prime is 20226053. The reversal of 20226024 is 42062202.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 777924 = 4410^2 + 882^2 .

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 = 20225988 and 20226006.

It is not an unprimeable number, because it can be changed into a prime (20226023) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1555842 + ... + 1555854.

Almost surely, 220226024 is an apocalyptic number.

20226024 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 20226024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35586705).

20226024 is an abundant number, since it is smaller than the sum of its proper divisors (50947386).

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

20226024 is an equidigital number, since it uses as much as digits as its factorization.

20226024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20226024 is about 4497.3352109888. The cubic root of 20226024 is about 272.4604729021.

Adding to 20226024 its reverse (42062202), we get a palindrome (62288226).

The spelling of 20226024 in words is "twenty million, two hundred twenty-six thousand, twenty-four".