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232220076 = 2231114911807
BaseRepresentation
bin11011101011101…
…10010110101100
3121011222000001120
431311312112230
5433422020301
635013140540
75516560314
oct1565662654
9534860046
10232220076
1110a09a420
126592a750
133915893a
1422bac444
15155c0e36
hexdd765ac

232220076 has 48 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 69891520.

The previous prime is 232220041. The next prime is 232220077. The reversal of 232220076 is 670022232.

It is not an unprimeable number, because it can be changed into a prime (232220077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13765 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (12398400).

Almost surely, 2232220076 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 232220076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

232220076 is an abundant number, since it is smaller than the sum of its proper divisors (362903124).

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

232220076 is a wasteful number, since it uses less digits than its factorization.

232220076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11974 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 232220076 is about 15238.7688479089. The cubic root of 232220076 is about 614.6575977559.

The spelling of 232220076 in words is "two hundred thirty-two million, two hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 11807 19668 23614 35421 47228 70842 129877 141684 259754 389631 519508 779262 1558524 1759243 3518486 5277729 7036972 10555458 19351673 21110916 38703346 58055019 77406692 116110038 232220076