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223432020 = 223457171961
BaseRepresentation
bin11010101000101…
…00110101010100
3120120102112010000
431110110311110
5424144311040
634100531300
75352066210
oct1524246524
9516375100
10223432020
11105137869
12629b0b30
133739c8c6
1421961940
1514937130
hexd514d54

223432020 has 480 divisors, whose sum is σ = 907441920. Its totient is φ = 44789760.

The previous prime is 223432019. The next prime is 223432021. The reversal of 223432020 is 20234322.

It is an interprime number because it is at equal distance from previous prime (223432019) and next prime (223432021).

It is a super-2 number, since 2×2234320202 = 99843735122560800, which contains 22 as substring.

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 = 223431984 and 223432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223432021) 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 159 ways as a sum of consecutive naturals, for example, 3662790 + ... + 3662850.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2223432020 is an apocalyptic number.

223432020 is a gapful number since it is divisible by the number (20) 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 223432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

223432020 is an abundant number, since it is smaller than the sum of its proper divisors (684009900).

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

223432020 is a wasteful number, since it uses less digits than its factorization.

223432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

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

The square root of 223432020 is about 14947.6426235042. The cubic root of 223432020 is about 606.8040498482.

Adding to 223432020 its reverse (20234322), we get a palindrome (243666342).

The spelling of 223432020 in words is "two hundred twenty-three million, four hundred thirty-two thousand, twenty".