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1066020224 = 27174311393
BaseRepresentation
bin111111100010100…
…010110110000000
32202021220102211112
4333202202312000
54140400121344
6253440302452
735263010453
oct7742426600
92667812745
101066020224
114a7816855
12259011a28
1313cb143c9
14a181549a
15638c2c9e
hex3f8a2d80

1066020224 has 64 divisors (see below), whose sum is σ = 2301132240. Its totient is φ = 489947136.

The previous prime is 1066020167. The next prime is 1066020227. The reversal of 1066020224 is 4220206601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10660202242 = 2272798235954020352, 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 1066020224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066020227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87872 + ... + 99264.

Almost surely, 21066020224 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 1066020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150566120).

1066020224 is an abundant number, since it is smaller than the sum of its proper divisors (1235112016).

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

1066020224 is a wasteful number, since it uses less digits than its factorization.

1066020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11467 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1066020224 is about 32649.9651454638. The cubic root of 1066020224 is about 1021.5394618501.

Adding to 1066020224 its reverse (4220206601), we get a palindrome (5286226825).

The spelling of 1066020224 in words is "one billion, sixty-six million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 272 344 544 688 731 1088 1376 1462 2176 2752 2924 5504 5848 11393 11696 22786 23392 45572 46784 91144 93568 182288 193681 364576 387362 489899 729152 774724 979798 1458304 1549448 1959596 3098896 3919192 6197792 7838384 8328283 12395584 15676768 16656566 24791168 31353536 33313132 62707072 66626264 133252528 266505056 533010112 1066020224