Search a number
-
+
1254222225 = 34527872
BaseRepresentation
bin100101011000001…
…1110100110010001
310020102001002110000
41022300132212101
510032040102400
6324242200213
743036466364
oct11260364621
93212032400
101254222225
11593a807a3
122b0053069
1316caca639
14bc8060db
157519b600
hex4ac1e991

1254222225 has 45 divisors (see below), whose sum is σ = 2326208907. Its totient is φ = 668068560.

The previous prime is 1254222187. The next prime is 1254222241. The reversal of 1254222225 is 5222224521.

It is a happy number.

The square root of 1254222225 is 35415.

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

1254222225 is a `hidden beast` number, since 12 + 5 + 422 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451520001 + 802702224 = 21249^2 + 28332^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1254222225 - 27 = 1254222097 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1593282 + ... + 1594068.

Almost surely, 21254222225 is an apocalyptic number.

1254222225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1254222225 is the 35415-th square number.

1254222225 is the 17708-th centered octagonal number.

It is an amenable number.

1254222225 is a deficient number, since it is larger than the sum of its proper divisors (1071986682).

1254222225 is an frugal number, since it uses more digits than its factorization.

1254222225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 795 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The cubic root of 1254222225 is about 1078.4288497072.

Multiplying 1254222225 by its product of digits (6400), we get a square (8027022240000 = 28332002).

Adding to 1254222225 its reverse (5222224521), we get a palindrome (6476446746).

The spelling of 1254222225 in words is "one billion, two hundred fifty-four million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 787 2025 2361 3935 7083 11805 19675 21249 35415 59025 63747 106245 177075 318735 531225 619369 1593675 1858107 3096845 5574321 9290535 15484225 16722963 27871605 46452675 50168889 83614815 139358025 250844445 418074075 1254222225