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23311080 = 233251317293
BaseRepresentation
bin101100011101…
…1001011101000
31121212022210100
41120323023220
521431423310
62151345400
7402066222
oct130731350
947768710
1023311080
1112181a61
127982260
134aa2550
14314b412
1520a6ec0
hex163b2e8

23311080 has 192 divisors, whose sum is σ = 86682960. Its totient is φ = 5382144.

The previous prime is 23311051. The next prime is 23311087. The reversal of 23311080 is 8011332.

It can be written as a sum of positive squares in 8 ways, for example, as 15256836 + 8054244 = 3906^2 + 2838^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23311087) 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 47 ways as a sum of consecutive naturals, for example, 79414 + ... + 79706.

Almost surely, 223311080 is an apocalyptic number.

23311080 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 23311080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

23311080 is an abundant number, since it is smaller than the sum of its proper divisors (63371880).

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

23311080 is a wasteful number, since it uses less digits than its factorization.

23311080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 23311080 is about 4828.1549270917. The cubic root of 23311080 is about 285.6630913037.

The spelling of 23311080 in words is "twenty-three million, three hundred eleven thousand, eighty".