Search a number
-
+
223010983104 = 26371328231193
BaseRepresentation
bin1100111110110001111…
…1011000110011000000
3210022122000111202001220
43033230133120303000
512123211302424404
6250241055155040
722053264036210
oct3175437306300
9708560452056
10223010983104
118663a982408
1237279b15a80
1318050755500
14ab1822c240
155c037034d9
hex33ec7d8cc0

223010983104 has 336 divisors, whose sum is σ = 731705513472. Its totient is φ = 58695376896.

The previous prime is 223010983103. The next prime is 223010983133. The reversal of 223010983104 is 401389010322.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (223010983103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186932332 + ... + 186933524.

Almost surely, 2223010983104 is an apocalyptic number.

223010983104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223010983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365852756736).

223010983104 is an abundant number, since it is smaller than the sum of its proper divisors (508694530368).

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

223010983104 is a wasteful number, since it uses less digits than its factorization.

223010983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 223010983104 its reverse (401389010322), we get a palindrome (624399993426).

The spelling of 223010983104 in words is "two hundred twenty-three billion, ten million, nine hundred eighty-three thousand, one hundred four".