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11232221000 = 2353731113229
BaseRepresentation
bin10100111010111111…
…00001011101001000
31001222210101221120012
422131133201131020
5141000422033000
65054321251052
7545226206000
oct123537413510
931883357505
1011232221000
114844328980
122215793a88
1310a0083820
14787a7d000
1545b160735
hex29d7e1748

11232221000 has 512 divisors, whose sum is σ = 36167040000. Its totient is φ = 3217536000.

The previous prime is 11232220997. The next prime is 11232221029. The reversal of 11232221000 is 12223211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49048886 + ... + 49049114.

It is an arithmetic number, because the mean of its divisors is an integer number (70638750).

Almost surely, 211232221000 is an apocalyptic number.

11232221000 is a gapful number since it is divisible by the number (10) 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 11232221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520000).

11232221000 is an abundant number, since it is smaller than the sum of its proper divisors (24934819000).

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

11232221000 is a wasteful number, since it uses less digits than its factorization.

11232221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11232221000 its reverse (12223211), we get a palindrome (11244444211).

It can be divided in two parts, 11232 and 221000, that added together give a palindrome (232232).

The spelling of 11232221000 in words is "eleven billion, two hundred thirty-two million, two hundred twenty-one thousand".