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15223253040 = 24325296611103
BaseRepresentation
bin11100010110110000…
…00110100000110000
31110021221020101021200
432023120012200300
5222134123044130
610554331051200
71046150341632
oct161330064060
943257211250
1015223253040
116502147366
122b4a2a0b00
131587b85348
14a45b3aa52
155e1713760
hex38b606830

15223253040 has 240 divisors, whose sum is σ = 53015713920. Its totient is φ = 3910072320.

The previous prime is 15223253039. The next prime is 15223253053. The reversal of 15223253040 is 4035232251.

It is a happy number.

15223253040 is a `hidden beast` number, since 15 + 22 + 325 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 15223252995 and 15223253013.

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 47 ways as a sum of consecutive naturals, for example, 13801129 + ... + 13802231.

It is an arithmetic number, because the mean of its divisors is an integer number (220898808).

Almost surely, 215223253040 is an apocalyptic number.

15223253040 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 15223253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507856960).

15223253040 is an abundant number, since it is smaller than the sum of its proper divisors (37792460880).

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

15223253040 is a wasteful number, since it uses less digits than its factorization.

15223253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 15223253040 its reverse (4035232251), we get a palindrome (19258485291).

The spelling of 15223253040 in words is "fifteen billion, two hundred twenty-three million, two hundred fifty-three thousand, forty".