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220135431 = 31759149491
BaseRepresentation
bin11010001111100…
…00000000000111
3120100020001001010
431013300000013
5422323313211
633502133303
75312056155
oct1507600007
9510201033
10220135431
1110329600a
1261881233
13367b7269
14213443d5
15144d54a6
hexd1f0007

220135431 has 32 divisors (see below), whose sum is σ = 318816000. Its totient is φ = 134597120.

The previous prime is 220135423. The next prime is 220135457. The reversal of 220135431 is 134531022.

It is a cyclic number.

It is not a de Polignac number, because 220135431 - 23 = 220135423 is a prime.

It is a super-2 number, since 2×2201354312 = 96919215963111522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220135398 and 220135407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220135481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 448096 + ... + 448586.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2220135431 is an apocalyptic number.

220135431 is a deficient number, since it is larger than the sum of its proper divisors (98680569).

220135431 is a wasteful number, since it uses less digits than its factorization.

220135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 220135431 is about 14836.9616498797. The cubic root of 220135431 is about 603.8049227113.

Adding to 220135431 its reverse (134531022), we get a palindrome (354666453).

The spelling of 220135431 in words is "two hundred twenty million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 17 51 59 149 177 447 491 1003 1473 2533 3009 7599 8347 8791 25041 26373 28969 73159 86907 149447 219477 448341 492473 1243703 1477419 3731109 4316381 12949143 73378477 220135431