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148930387225 = 527929772
BaseRepresentation
bin1000101010110011110…
…0010101110100011001
3112020102012210112222121
42022230330111310121
54420002134342400
6152230115021241
713521430255444
oct2125474256431
9466365715877
10148930387225
1158185359254
1224a4459a821
1311075aaaaa9
1472cb6c265b
153d19c4c21a
hex22acf15d19

148930387225 has 27 divisors (see below), whose sum is σ = 187232552157. Its totient is φ = 117515748480.

The previous prime is 148930387223. The next prime is 148930387247. The reversal of 148930387225 is 522783039841.

It is a happy number.

The square root of 148930387225 is 385915.

It is a perfect power (a square), and thus also a powerful number.

148930387225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21198486409 + 127731900816 = 145597^2 + 357396^2 .

It is not a de Polignac number, because 148930387225 - 21 = 148930387223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148930387223) 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 26 ways as a sum of consecutive naturals, for example, 152435937 + ... + 152436913.

Almost surely, 2148930387225 is an apocalyptic number.

148930387225 is the 385915-th square number.

148930387225 is the 192958-th centered octagonal number.

It is an amenable number.

148930387225 is a deficient number, since it is larger than the sum of its proper divisors (38302164932).

148930387225 is an frugal number, since it uses more digits than its factorization.

148930387225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 148930387225 in words is "one hundred forty-eight billion, nine hundred thirty million, three hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 79 395 977 1975 4885 6241 24425 31205 77183 156025 385915 954529 1929575 4772645 6097457 23863225 30487285 75407791 152436425 377038955 1885194775 5957215489 29786077445 148930387225