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1066356225 = 335211143617
BaseRepresentation
bin111111100011110…
…100111000000001
32202022112111202000
4333203310320001
54140441344400
6253451414213
735265610164
oct7743647001
92668474660
101066356225
114a7a26240
12259154369
1313cc0131c
14a18a1adb
156393c600
hex3f8f4e01

1066356225 has 48 divisors (see below), whose sum is σ = 2137035840. Its totient is φ = 517017600.

The previous prime is 1066356223. The next prime is 1066356227. The reversal of 1066356225 is 5226536601.

It is a happy number.

1066356225 is a `hidden beast` number, since 10 + 6 + 63 + 562 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1066356223) and next prime (1066356227).

It is not a de Polignac number, because 1066356225 - 21 = 1066356223 is a prime.

It is a super-2 number, since 2×10663562252 = 2274231197192501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066356225.

It is not an unprimeable number, because it can be changed into a prime (1066356223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64384 + ... + 79233.

It is an arithmetic number, because the mean of its divisors is an integer number (44521580).

Almost surely, 21066356225 is an apocalyptic number.

1066356225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066356225 is an abundant number, since it is smaller than the sum of its proper divisors (1070679615).

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

1066356225 is a wasteful number, since it uses less digits than its factorization.

1066356225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143647 (or 143636 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1066356225 is about 32655.1102432682. The cubic root of 1066356225 is about 1021.6467775831.

The spelling of 1066356225 in words is "one billion, sixty-six million, three hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 143617 430851 718085 1292553 1579787 2154255 3590425 3877659 4739361 6462765 7898935 10771275 14218083 19388295 23696805 32313825 39494675 42654249 71090415 96941475 118484025 213271245 355452075 1066356225