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223321013032 = 231319228149547
BaseRepresentation
bin1100111111111011111…
…0000011101100101000
3210100102121212220011211
43033332332003230220
512124330134404112
6250331532202504
722064050201435
oct3177676035450
9710377786154
10223321013032
1186789987497
1237345909434
131809ca55680
14ab47492b8c
155c20a440a7
hex33fef83b28

223321013032 has 64 divisors (see below), whose sum is σ = 474887851200. Its totient is φ = 97601656320.

The previous prime is 223321013029. The next prime is 223321013059. The reversal of 223321013032 is 230310123322.

It is a junction number, because it is equal to n+sod(n) for n = 223321012994 and 223321013012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482483 + ... + 4532029.

It is an arithmetic number, because the mean of its divisors is an integer number (7420122675).

Almost surely, 2223321013032 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 223321013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237443925600).

223321013032 is an abundant number, since it is smaller than the sum of its proper divisors (251566838168).

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

223321013032 is a wasteful number, since it uses less digits than its factorization.

223321013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866 (or 51862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223321013032 its reverse (230310123322), we get a palindrome (453631136354).

The spelling of 223321013032 in words is "two hundred twenty-three billion, three hundred twenty-one million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 2281 4562 9124 18248 29653 43339 49547 59306 86678 99094 118612 173356 198188 237224 346712 396376 563407 644111 941393 1126814 1288222 1882786 2253628 2576444 3765572 4507256 5152888 7531144 12238109 24476218 48952436 97904872 113016707 226033414 452066828 904133656 1469217191 2147317433 2938434382 4294634866 5876868764 8589269732 11753737528 17178539464 27915126629 55830253258 111660506516 223321013032