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9223981920 = 25345711727
BaseRepresentation
bin10001001011100101…
…01100101101100000
3212210211112211110000
420211302230231200
5122342314410140
64123141540000
7444402360366
oct104562545540
925724484400
109223981920
113a0377415a
121955114600
13b3ccb328a
1463707b636
1538ebc1a30
hex225cacb60

9223981920 has 120 divisors (see below), whose sum is σ = 32553015264. Its totient is φ = 2459725056.

The previous prime is 9223981919. The next prime is 9223981951. The reversal of 9223981920 is 291893229.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 342904 + ... + 368823.

Almost surely, 29223981920 is an apocalyptic number.

9223981920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9223981920 is an abundant number, since it is smaller than the sum of its proper divisors (23329033344).

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

9223981920 is a wasteful number, since it uses less digits than its factorization.

9223981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711754 (or 711737 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9223981920 is about 96041.5635024753. The cubic root of 9223981920 is about 2097.1982227720.

The spelling of 9223981920 in words is "nine billion, two hundred twenty-three million, nine hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 711727 1423454 2135181 2846908 3558635 4270362 5693816 6405543 7117270 8540724 10675905 11387632 12811086 14234540 17081448 19216629 21351810 22775264 25622172 28469080 32027715 34162896 38433258 42703620 51244344 56938160 57649887 64055430 68325792 76866516 85407240 96083145 102488688 113876320 115299774 128110860 153733032 170814480 192166290 204977376 230599548 256221720 288249435 307466064 341628960 384332580 461199096 512443440 576498870 614932128 768665160 922398192 1024886880 1152997740 1537330320 1844796384 2305995480 3074660640 4611990960 9223981920