Search a number
-
+
223182070938 = 232171913818603
BaseRepresentation
bin1100111111011010110…
…0000010010010011010
3210100001221102220110100
43033312230002102122
512124034102232223
6250310050200230
722060442205441
oct3176654022232
9710057386410
10223182070938
1186718508212
1237307283076
131807a028a08
14ab32c45d58
155c1374b043
hex33f6b0249a

223182070938 has 48 divisors (see below), whose sum is σ = 514686721536. Its totient is φ = 69651300480.

The previous prime is 223182070927. The next prime is 223182070957. The reversal of 223182070938 is 839070281322.

223182070938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231820709383 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223182070893 and 223182070902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850856 + ... + 1967747.

It is an arithmetic number, because the mean of its divisors is an integer number (10722640032).

Almost surely, 2223182070938 is an apocalyptic number.

223182070938 is an abundant number, since it is smaller than the sum of its proper divisors (291504650598).

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

223182070938 is a wasteful number, since it uses less digits than its factorization.

223182070938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818819 (or 3818816 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 223182070938 in words is "two hundred twenty-three billion, one hundred eighty-two million, seventy thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 573 1146 1719 3247 3438 6494 9741 19482 29223 58446 3818603 7637206 11455809 22911618 34367427 64916251 68734854 129832502 194748753 389497506 584246259 729353173 1168492518 1458706346 2188059519 4376119038 6564178557 12399003941 13128357114 24798007882 37197011823 74394023646 111591035469 223182070938