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23240016 = 2432199811
BaseRepresentation
bin101100010100…
…1110101010000
31121201201022100
41120221311100
521422140031
62150040400
7401352102
oct130516520
947651270
1023240016
1112133628
127949100
134a790b7
14312d572
152090de6
hex1629d50

23240016 has 60 divisors (see below), whose sum is σ = 65447200. Its totient is φ = 7698240.

The previous prime is 23240011. The next prime is 23240029. The reversal of 23240016 is 61004232.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240011) 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 11 ways as a sum of consecutive naturals, for example, 28251 + ... + 29061.

Almost surely, 223240016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32723600).

23240016 is an abundant number, since it is smaller than the sum of its proper divisors (42207184).

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

23240016 is a wasteful number, since it uses less digits than its factorization.

23240016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23240016 is about 4820.7899767569. The cubic root of 23240016 is about 285.3725138111.

Adding to 23240016 its reverse (61004232), we get a palindrome (84244248).

The spelling of 23240016 in words is "twenty-three million, two hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 811 1194 1592 1622 1791 2388 2433 3184 3244 3582 4776 4866 6488 7164 7299 9552 9732 12976 14328 14598 19464 28656 29196 38928 58392 116784 161389 322778 484167 645556 968334 1291112 1452501 1936668 2582224 2905002 3873336 5810004 7746672 11620008 23240016