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1022255856 = 243343113487
BaseRepresentation
bin111100111011100…
…110001011110000
32122020112222102000
4330323212023300
54043144141411
6245234254000
734222013526
oct7473461360
92566488360
101022255856
11485044a56
12246427300
13133a3032b
1499aa2316
155eb2a956
hex3cee62f0

1022255856 has 160 divisors (see below), whose sum is σ = 3035281920. Its totient is φ = 329204736.

The previous prime is 1022255779. The next prime is 1022255863. The reversal of 1022255856 is 6585522201.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1022255856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2098845 + ... + 2099331.

It is an arithmetic number, because the mean of its divisors is an integer number (18970512).

Almost surely, 21022255856 is an apocalyptic number.

1022255856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022255856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517640960).

1022255856 is an abundant number, since it is smaller than the sum of its proper divisors (2013026064).

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

1022255856 is a wasteful number, since it uses less digits than its factorization.

1022255856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1022255856 is about 31972.7361356516. The cubic root of 1022255856 is about 1007.3642533132.

The spelling of 1022255856 in words is "one billion, twenty-two million, two hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 113 129 144 172 216 226 258 339 344 387 432 452 487 516 678 688 774 904 974 1017 1032 1161 1356 1461 1548 1808 1948 2034 2064 2322 2712 2922 3051 3096 3896 4068 4383 4644 4859 5424 5844 6102 6192 7792 8136 8766 9288 9718 11688 12204 13149 14577 16272 17532 18576 19436 20941 23376 24408 26298 29154 35064 38872 41882 43731 48816 52596 55031 58308 62823 70128 77744 83764 87462 105192 110062 116616 125646 131193 165093 167528 174924 188469 210384 220124 233232 251292 262386 330186 335056 349848 376938 440248 495279 502584 524772 565407 660372 699696 753876 880496 990558 1005168 1049544 1130814 1320744 1485837 1507752 1981116 2099088 2261628 2366333 2641488 2971674 3015504 3962232 4523256 4732666 5943348 7098999 7924464 9046512 9465332 11886696 14197998 18930664 21296997 23773392 28395996 37861328 42593994 56791992 63890991 85187988 113583984 127781982 170375976 255563964 340751952 511127928 1022255856