Search a number
-
+
1322221104 = 243317435379
BaseRepresentation
bin100111011001111…
…0111111000110000
310102010222210101000
41032303313320300
510201442033404
6335111442000
744523460011
oct11663677060
93363883330
101322221104
116193a5316
1230a986300
13180c18369
14c7867008
157b12e339
hex4ecf7e30

1322221104 has 320 divisors, whose sum is σ = 4242585600. Its totient is φ = 392491008.

The previous prime is 1322221097. The next prime is 1322221123. The reversal of 1322221104 is 4011222231.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16736937 + ... + 16737015.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 21322221104 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 1322221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1322221104 is an abundant number, since it is smaller than the sum of its proper divisors (2920364496).

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

1322221104 is a wasteful number, since it uses less digits than its factorization.

1322221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1322221104 is about 36362.3583393597. The cubic root of 1322221104 is about 1097.5762346921.

Adding to 1322221104 its reverse (4011222231), we get a palindrome (5333443335).

The spelling of 1322221104 in words is "one billion, three hundred twenty-two million, two hundred twenty-one thousand, one hundred four".