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13252221000 = 2333533171223
BaseRepresentation
bin11000101011110010…
…01101100001001000
31021012120101120122000
430111321031201020
5204120032033000
610031001031000
7646255006554
oct142571154110
937176346560
1013252221000
115690595867
12269a185460
1313327112b5
148da062864
15528674000
hex315e4d848

13252221000 has 512 divisors, whose sum is σ = 48306585600. Its totient is φ = 3356640000.

The previous prime is 13252220963. The next prime is 13252221001. The reversal of 13252221000 is 12225231.

13252221000 is a `hidden beast` number, since 132 + 522 + 2 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×132522210002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13252221001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59426889 + ... + 59427111.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 213252221000 is an apocalyptic number.

13252221000 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 13252221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153292800).

13252221000 is an abundant number, since it is smaller than the sum of its proper divisors (35054364600).

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

13252221000 is a wasteful number, since it uses less digits than its factorization.

13252221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13252221000 its reverse (12225231), we get a palindrome (13264446231).

The spelling of 13252221000 in words is "thirteen billion, two hundred fifty-two million, two hundred twenty-one thousand".