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1005344225 = 5267359753
BaseRepresentation
bin111011111011000…
…101010111100001
32121001201210000022
4323323011113201
54024332003400
6243432003225
733625166504
oct7373052741
92531653008
101005344225
11476543aa6
12240830515
1313038b852
149773d13b
155d3d9b85
hex3bec55e1

1005344225 has 12 divisors (see below), whose sum is σ = 1248500076. Its totient is φ = 803066880.

The previous prime is 1005344209. The next prime is 1005344239. The reversal of 1005344225 is 5224435001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24840256 + 980503969 = 4984^2 + 31313^2 .

It is not a de Polignac number, because 1005344225 - 24 = 1005344209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005344194 and 1005344203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13052 + ... + 46701.

It is an arithmetic number, because the mean of its divisors is an integer number (104041673).

Almost surely, 21005344225 is an apocalyptic number.

It is an amenable number.

1005344225 is a deficient number, since it is larger than the sum of its proper divisors (243155851).

1005344225 is an equidigital number, since it uses as much as digits as its factorization.

1005344225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60436 (or 60431 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1005344225 is about 31707.1636227525. The cubic root of 1005344225 is about 1001.7782443062.

Adding to 1005344225 its reverse (5224435001), we get a palindrome (6229779226).

The spelling of 1005344225 in words is "one billion, five million, three hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 673 3365 16825 59753 298765 1493825 40213769 201068845 1005344225