Search a number
-
+
1893555225 = 34529672
BaseRepresentation
bin111000011011101…
…0101110000011001
311212222001120110000
41300313111300121
512334222231400
6511521243213
764631645112
oct16067256031
94788046400
101893555225
11891954081
1244a193509
132423b82a3
1413d6ab209
15b1388600
hex70dd5c19

1893555225 has 45 divisors (see below), whose sum is σ = 3511149807. Its totient is φ = 1008851760.

The previous prime is 1893555199. The next prime is 1893555281. The reversal of 1893555225 is 5225553981.

It is a happy number.

The square root of 1893555225 is 43515.

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

1893555225 is a `hidden beast` number, since 1 + 8 + 93 + 5 + 552 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 681679881 + 1211875344 = 26109^2 + 34812^2 .

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

It is not a de Polignac number, because 1893555225 - 221 = 1891458073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1957692 + ... + 1958658.

Almost surely, 21893555225 is an apocalyptic number.

1893555225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1893555225 is the 43515-th square number.

1893555225 is the 21758-th centered octagonal number.

It is an amenable number.

1893555225 is a deficient number, since it is larger than the sum of its proper divisors (1617594582).

1893555225 is an frugal number, since it uses more digits than its factorization.

1893555225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 975 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The cubic root of 1893555225 is about 1237.1603475566.

The spelling of 1893555225 in words is "one billion, eight hundred ninety-three million, five hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 967 2025 2901 4835 8703 14505 24175 26109 43515 72525 78327 130545 217575 391635 652725 935089 1958175 2805267 4675445 8415801 14026335 23377225 25247403 42079005 70131675 75742209 126237015 210395025 378711045 631185075 1893555225