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153225221256 = 233214423147551
BaseRepresentation
bin1000111010110011101…
…1110101010010001000
3112122111112021201200200
42032230323311102020
510002301124040011
6154220220132200
714033030614452
oct2165473652210
9478445251620
10153225221256
1159a89708668
1225842997060
13115ab80bac3
1475b7c632d2
153ebbd10856
hex23acef5488

153225221256 has 48 divisors (see below), whose sum is σ = 415016559360. Its totient is φ = 51071186400.

The previous prime is 153225221203. The next prime is 153225221257. The reversal of 153225221256 is 652122522351.

153225221256 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 2 + 522 + 125 + 6 = 666.

153225221256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153225221256.

It is not an unprimeable number, because it can be changed into a prime (153225221257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964681 + ... + 1112231.

It is an arithmetic number, because the mean of its divisors is an integer number (8646178320).

Almost surely, 2153225221256 is an apocalyptic number.

It is an amenable number.

153225221256 is an abundant number, since it is smaller than the sum of its proper divisors (261791338104).

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

153225221256 is a wasteful number, since it uses less digits than its factorization.

153225221256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161986 (or 161979 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 153225221256 in words is "one hundred fifty-three billion, two hundred twenty-five million, two hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14423 28846 43269 57692 86538 115384 129807 147551 173076 259614 295102 346152 442653 519228 590204 885306 1038456 1180408 1327959 1770612 2655918 3541224 5311836 10623672 2128128073 4256256146 6384384219 8512512292 12768768438 17025024584 19153152657 25537536876 38306305314 51075073752 76612610628 153225221256