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15252212000 = 2553191011987
BaseRepresentation
bin11100011010001101…
…00100100100100000
31110100221201122111202
432031012210210200
5222214031241000
611001243500332
71046651443244
oct161506444440
943327648452
1015252212000
116517526693
122b57b276a8
131590b8451c
14a49918424
155e4033dd5
hex38d1a4920

15252212000 has 192 divisors, whose sum is σ = 39857650560. Its totient is φ = 5719680000.

The previous prime is 15252211999. The next prime is 15252212021. The reversal of 15252212000 is 21225251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7675007 + ... + 7676993.

It is an arithmetic number, because the mean of its divisors is an integer number (207591930).

Almost surely, 215252212000 is an apocalyptic number.

15252212000 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 15252212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928825280).

15252212000 is an abundant number, since it is smaller than the sum of its proper divisors (24605438560).

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

15252212000 is a wasteful number, since it uses less digits than its factorization.

15252212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15252212000 its reverse (21225251), we get a palindrome (15273437251).

The spelling of 15252212000 in words is "fifteen billion, two hundred fifty-two million, two hundred twelve thousand".