Search a number
-
+
1225323008 = 2972132172
BaseRepresentation
bin100100100001000…
…1111001000000000
310011101122212011122
41021002033020000
510002140314013
6321330531412
742236034200
oct11102171000
93141585148
101225323008
11579732348
122a2436b68
13166b1c700
14b8a42400
157288da08
hex4908f200

1225323008 has 270 divisors, whose sum is σ = 3275970291. Its totient is φ = 456228864.

The previous prime is 1225322981. The next prime is 1225323013. The reversal of 1225323008 is 8003235221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 496754944 + 728568064 = 22288^2 + 26992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24752.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72077816 + ... + 72077832.

Almost surely, 21225323008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225323008

1225323008 is an abundant number, since it is smaller than the sum of its proper divisors (2050647283).

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

1225323008 is an equidigital number, since it uses as much as digits as its factorization.

1225323008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1225323008 is about 35004.6140958588. The cubic root of 1225323008 is about 1070.0815170667.

Adding to 1225323008 its reverse (8003235221), we get a palindrome (9228558229).

The spelling of 1225323008 in words is "one billion, two hundred twenty-five million, three hundred twenty-three thousand, eight".