Search a number
-
+
222580104 = 23329833853
BaseRepresentation
bin11010100010001…
…00110110001000
3120111211020111120
431101010312020
5423440030404
634030355240
75341620405
oct1521046610
9514736446
10222580104
111047057aa
126265bb20
1337161c06
14217bd2ac
15148199d9
hexd444d88

222580104 has 64 divisors (see below), whose sum is σ = 582724800. Its totient is φ = 70753536.

The previous prime is 222580081. The next prime is 222580121. The reversal of 222580104 is 401085222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55842 + ... + 59694.

It is an arithmetic number, because the mean of its divisors is an integer number (9105075).

Almost surely, 2222580104 is an apocalyptic number.

222580104 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 222580104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291362400).

222580104 is an abundant number, since it is smaller than the sum of its proper divisors (360144696).

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

222580104 is a wasteful number, since it uses less digits than its factorization.

222580104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 222580104 is about 14919.1187407300. The cubic root of 222580104 is about 606.0318470557.

The spelling of 222580104 in words is "two hundred twenty-two million, five hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 332 348 498 664 696 996 1992 2407 3853 4814 7221 7706 9628 11559 14442 15412 19256 23118 28884 30824 46236 57768 92472 111737 223474 319799 335211 446948 639598 670422 893896 959397 1279196 1340844 1918794 2558392 2681688 3837588 7675176 9274171 18548342 27822513 37096684 55645026 74193368 111290052 222580104