Search a number
-
+
1222551225 = 365272372
BaseRepresentation
bin100100011011110…
…1010011010111001
310011012110001000000
41020313222122321
510000433114400
6321151303213
742203341200
oct11067523271
93135401000
101222551225
11578109915
122a151ab09
1316638bbbc
14b8520237
15724e2600
hex48dea6b9

1222551225 has 189 divisors, whose sum is σ = 2717382717. Its totient is φ = 543775680.

The previous prime is 1222551217. The next prime is 1222551229. The reversal of 1222551225 is 5221552221.

It is a happy number.

The square root of 1222551225 is 34965.

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

1222551225 is a `hidden beast` number, since 122 + 2 + 5 + 512 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 1106493696 = 10773^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 1222551225 - 23 = 1222551217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1222551229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 33041907 + ... + 33041943.

Almost surely, 21222551225 is an apocalyptic number.

1222551225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1222551225 is the 34965-th square number.

1222551225 is the 17483-rd centered octagonal number.

It is an amenable number.

1222551225 is an abundant number, since it is smaller than the sum of its proper divisors (1494831492).

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

1222551225 is an frugal number, since it uses more digits than its factorization.

1222551225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The cubic root of 1222551225 is about 1069.2740366377.

The spelling of 1222551225 in words is "one billion, two hundred twenty-two million, five hundred fifty-one thousand, two hundred twenty-five".