Search a number
-
+
1225824093 = 32132805933
BaseRepresentation
bin100100100010000…
…1001011101011101
310011102121022112100
41021010021131131
510002302332333
6321345355313
742243222114
oct11104113535
93142538470
101225824093
11579a4486a
122a2638b39
13166c66800
14b8b32c7b
157293c213
hex4910975d

1225824093 has 18 divisors (see below), whose sum is σ = 1917316986. Its totient is φ = 754352352.

The previous prime is 1225824073. The next prime is 1225824107. The reversal of 1225824093 is 3904285221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 54952569 + 1170871524 = 7413^2 + 34218^2 .

It is not a de Polignac number, because 1225824093 - 29 = 1225823581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225824013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 401446 + ... + 404487.

Almost surely, 21225824093 is an apocalyptic number.

1225824093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1225824093 is a deficient number, since it is larger than the sum of its proper divisors (691492893).

1225824093 is a wasteful number, since it uses less digits than its factorization.

1225824093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805965 (or 805949 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1225824093 is about 35011.7707778398. The cubic root of 1225824093 is about 1070.2273639763.

The spelling of 1225824093 in words is "one billion, two hundred twenty-five million, eight hundred twenty-four thousand, ninety-three".

Divisors: 1 3 9 13 39 117 169 507 1521 805933 2417799 7253397 10477129 31431387 94294161 136202677 408608031 1225824093