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220441431 = 3717659937
BaseRepresentation
bin11010010001110…
…10101101010111
3120100210120210110
431020322231113
5422413111211
633512454103
75314502250
oct1510725527
9510716713
10220441431
11103484a01
12619aa333
1336893622
14213c3b27
1514545ea6
hexd23ab57

220441431 has 32 divisors (see below), whose sum is σ = 356590080. Its totient is φ = 118250496.

The previous prime is 220441423. The next prime is 220441451. The reversal of 220441431 is 134144022.

It is not a de Polignac number, because 220441431 - 23 = 220441423 is a prime.

It is a super-2 number, since 2×2204414312 = 97188849002655522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 220441398 and 220441407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220441451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234795 + ... + 235731.

It is an arithmetic number, because the mean of its divisors is an integer number (11143440).

Almost surely, 2220441431 is an apocalyptic number.

220441431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220441431 is a deficient number, since it is larger than the sum of its proper divisors (136148649).

220441431 is a wasteful number, since it uses less digits than its factorization.

220441431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 220441431 is about 14847.2701531292. The cubic root of 220441431 is about 604.0845668691.

Adding to 220441431 its reverse (134144022), we get a palindrome (354585453).

The spelling of 220441431 in words is "two hundred twenty million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 659 937 1977 2811 4613 6559 11203 13839 15929 19677 33609 47787 78421 111503 235263 334509 617483 1852449 4322381 10497211 12967143 31491633 73480477 220441431