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1005225345 = 32522338341
BaseRepresentation
bin111011111010101…
…000010110000001
32121001111201221100
4323322220112001
54024314202340
6243425245013
733624163065
oct7372502601
92531451840
101005225345
11476472753
12240793769
131303496c7
149770baa5
155d3b4830
hex3bea8581

1005225345 has 12 divisors (see below), whose sum is σ = 1742390676. Its totient is φ = 536120160.

The previous prime is 1005225269. The next prime is 1005225349. The reversal of 1005225345 is 5435225001.

It is a happy number.

1005225345 is a `hidden beast` number, since 100 + 5 + 22 + 534 + 5 = 666.

1005225345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 550512369 + 454712976 = 23463^2 + 21324^2 .

It is not a de Polignac number, because 1005225345 - 214 = 1005208961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005225349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11169126 + ... + 11169215.

It is an arithmetic number, because the mean of its divisors is an integer number (145199223).

Almost surely, 21005225345 is an apocalyptic number.

1005225345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005225345 is a deficient number, since it is larger than the sum of its proper divisors (737165331).

1005225345 is a wasteful number, since it uses less digits than its factorization.

1005225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22338352 (or 22338349 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1005225345 is about 31705.2889121042. The cubic root of 1005225345 is about 1001.7387566398.

The spelling of 1005225345 in words is "one billion, five million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 22338341 67015023 111691705 201045069 335075115 1005225345