Search a number
-
+
222007104 = 26321137947
BaseRepresentation
bin11010011101110…
…00111101000000
3120110202010111100
431032320331000
5423313211404
634010214400
75334013014
oct1516707500
9513663440
10222007104
11104354250
1262424400
1336cc1167
14216b0544
1514754d39
hexd3b8f40

222007104 has 168 divisors, whose sum is σ = 713707488. Its totient is φ = 65387520.

The previous prime is 222007103. The next prime is 222007117. The reversal of 222007104 is 401700222.

222007104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222007103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233959 + ... + 234905.

Almost surely, 2222007104 is an apocalyptic number.

222007104 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 222007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356853744).

222007104 is an abundant number, since it is smaller than the sum of its proper divisors (491700384).

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

222007104 is a wasteful number, since it uses less digits than its factorization.

222007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 222007104 is about 14899.9028184750. The cubic root of 222007104 is about 605.5113533011.

Adding to 222007104 its reverse (401700222), we get a palindrome (623707326).

It can be divided in two parts, 222007 and 104, that added together give a triangular number (222111 = T666).

The spelling of 222007104 in words is "two hundred twenty-two million, seven thousand, one hundred four".