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8848222956 = 22324115738183
BaseRepresentation
bin10000011110110010…
…10010101011101100
3211211122111022001100
420033121102223230
5121110121113311
64022000043100
7432160440246
oct101731225354
924748438040
108848222956
113830655961
12186b303490
13ab01ab5b1
145dd1c7096
1536bbeaa56
hex20f652aec

8848222956 has 72 divisors (see below), whose sum is σ = 23058401184. Its totient is φ = 2859068160.

The previous prime is 8848222939. The next prime is 8848222963. The reversal of 8848222956 is 6592228488.

It is a happy number.

8848222956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 212641 + ... + 250823.

It is an arithmetic number, because the mean of its divisors is an integer number (320255572).

Almost surely, 28848222956 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 8848222956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529200592).

8848222956 is an abundant number, since it is smaller than the sum of its proper divisors (14210178228).

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

8848222956 is a wasteful number, since it uses less digits than its factorization.

8848222956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38391 (or 38386 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 8848222956 is about 94064.9932546641. The cubic root of 8848222956 is about 2068.3245449761.

It can be divided in two parts, 884822 and 2956, that added together give a triangular number (887778 = T1332).

The spelling of 8848222956 in words is "eight billion, eight hundred forty-eight million, two hundred twenty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 157 164 246 314 369 471 492 628 738 942 1413 1476 1884 2826 5652 6437 12874 19311 25748 38183 38622 57933 76366 77244 114549 115866 152732 229098 231732 343647 458196 687294 1374588 1565503 3131006 4696509 5994731 6262012 9393018 11989462 14089527 17984193 18786036 23978924 28179054 35968386 53952579 56358108 71936772 107905158 215810316 245783971 491567942 737351913 983135884 1474703826 2212055739 2949407652 4424111478 8848222956