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223023204432 = 2432744115733
BaseRepresentation
bin1100111110110100111…
…0000000100001010000
3210022122212111122120200
43033231032000201100
512123222420020212
6250242213135200
722053502650000
oct3175516004120
9708585448520
10223023204432
118664686a486
123728202a500
1318053144172
14ab19ad0000
155c048196dc
hex33ed380850

223023204432 has 300 divisors, whose sum is σ = 745944628884. Its totient is φ = 62162795520.

The previous prime is 223023204419. The next prime is 223023204451. The reversal of 223023204432 is 234402320322.

It is a happy number.

223023204432 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 23 + 204 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16431137856 + 206592066576 = 128184^2 + 454524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 223023204396 and 223023204405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14167638 + ... + 14183370.

Almost surely, 2223023204432 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 223023204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372972314442).

223023204432 is an abundant number, since it is smaller than the sum of its proper divisors (522921424452).

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

223023204432 is a wasteful number, since it uses less digits than its factorization.

223023204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 223023204432 its reverse (234402320322), we get a palindrome (457425524754).

The spelling of 223023204432 in words is "two hundred twenty-three billion, twenty-three million, two hundred four thousand, four hundred thirty-two".