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235031016 = 233117112539
BaseRepresentation
bin11100000001001…
…00100111101000
3121101020210221110
432000210213220
5440131443031
635153310320
75552505423
oct1600444750
9541223843
10235031016
1111073a310
12668653a0
133990120c
14233009ba
1515978c46
hexe0249e8

235031016 has 64 divisors (see below), whose sum is σ = 650073600. Its totient is φ = 70212800.

The previous prime is 235031003. The next prime is 235031099. The reversal of 235031016 is 610130532.

It is a junction number, because it is equal to n+sod(n) for n = 235030983 and 235031001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12475 + ... + 25013.

It is an arithmetic number, because the mean of its divisors is an integer number (10157400).

Almost surely, 2235031016 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 235031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325036800).

235031016 is an abundant number, since it is smaller than the sum of its proper divisors (415042584).

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

235031016 is a wasteful number, since it uses less digits than its factorization.

235031016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 235031016 is about 15330.7213137543. The cubic root of 235031016 is about 617.1277270076.

Adding to 235031016 its reverse (610130532), we get a palindrome (845161548).

The spelling of 235031016 in words is "two hundred thirty-five million, thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 12539 18744 25078 37617 50156 75234 100312 137929 150468 275858 300936 413787 551716 827574 890269 1103432 1655148 1780538 2670807 3310296 3561076 5341614 7122152 9792959 10683228 19585918 21366456 29378877 39171836 58757754 78343672 117515508 235031016