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1065226041 = 321123726437
BaseRepresentation
bin111111011111100…
…000111100111001
32202020102002102100
4333133200330321
54140144213131
6253411254013
735253162165
oct7737407471
92666362370
101065226041
114a7324100
122588aa309
1313c8c6a89
14a1689ca5
15637b77e6
hex3f7e0f39

1065226041 has 36 divisors (see below), whose sum is σ = 1737029476. Its totient is φ = 628119360.

The previous prime is 1065226021. The next prime is 1065226073. The reversal of 1065226041 is 1406225601.

1065226041 is a `hidden beast` number, since 1 + 0 + 6 + 52 + 2 + 604 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 921729600 + 143496441 = 30360^2 + 11979^2 .

It is not a de Polignac number, because 1065226041 - 26 = 1065225977 is a prime.

It is a super-2 number, since 2×10652260412 = 2269413036849067362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1065225996 and 1065226014.

It is not an unprimeable number, because it can be changed into a prime (1065226021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27075 + ... + 53511.

Almost surely, 21065226041 is an apocalyptic number.

1065226041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1065226041 is a deficient number, since it is larger than the sum of its proper divisors (671803435).

1065226041 is a wasteful number, since it uses less digits than its factorization.

1065226041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502 (or 26488 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1065226041 is about 32637.8007990735. The cubic root of 1065226041 is about 1021.2857171871.

The spelling of 1065226041 in words is "one billion, sixty-five million, two hundred twenty-six thousand, forty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 26437 40293 79311 237933 290807 872421 978169 2617263 2934507 3198877 8803521 9596631 10759859 28789893 32279577 96838731 118358449 355075347 1065226041