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232223016 = 233194112421
BaseRepresentation
bin11011101011101…
…11000100101000
3121011222011002110
431311313010220
5433422114031
635013202320
75516602014
oct1565670450
9534864073
10232223016
1110a0a1653
12659303a0
133915a08c
1422bad544
15155c1c46
hexdd77128

232223016 has 64 divisors (see below), whose sum is σ = 626068800. Its totient is φ = 71539200.

The previous prime is 232223011. The next prime is 232223027. The reversal of 232223016 is 610322232.

It is a junction number, because it is equal to n+sod(n) for n = 232222983 and 232223001.

It is not an unprimeable number, because it can be changed into a prime (232223011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12486 + ... + 24906.

It is an arithmetic number, because the mean of its divisors is an integer number (9782325).

Almost surely, 2232223016 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 232223016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313034400).

232223016 is an abundant number, since it is smaller than the sum of its proper divisors (393845784).

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

232223016 is a wasteful number, since it uses less digits than its factorization.

232223016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 232223016 is about 15238.8653120893. The cubic root of 232223016 is about 614.6601916828.

Adding to 232223016 its reverse (610322232), we get a palindrome (842545248).

The spelling of 232223016 in words is "two hundred thirty-two million, two hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 9348 12421 18696 24842 37263 49684 74526 99368 149052 235999 298104 471998 509261 707997 943996 1018522 1415994 1527783 1887992 2037044 2831988 3055566 4074088 5663976 6111132 9675959 12222264 19351918 29027877 38703836 58055754 77407672 116111508 232223016