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9221082672 = 2432959911059
BaseRepresentation
bin10001001011001111…
…01000111000110000
3212210122002112102110
420211213220320300
5122341044121142
64122555445320
7444335623644
oct104547507060
925718075373
109221082672
113a0207398a
121954156840
13b3c509749
14636924c24
1538e7ec99c
hex2259e8e30

9221082672 has 80 divisors (see below), whose sum is σ = 24685920000. Its totient is φ = 2962482432.

The previous prime is 9221082671. The next prime is 9221082691. The reversal of 9221082672 is 2762801229.

It is a self number, because there is not a number n which added to its sum of digits gives 9221082672.

It is not an unprimeable number, because it can be changed into a prime (9221082671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828279 + ... + 839337.

It is an arithmetic number, because the mean of its divisors is an integer number (308574000).

Almost surely, 29221082672 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 9221082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960000).

9221082672 is an abundant number, since it is smaller than the sum of its proper divisors (15464837328).

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

9221082672 is a wasteful number, since it uses less digits than its factorization.

9221082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11698 (or 11692 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 9221082672 is about 96026.4686011102. The cubic root of 9221082672 is about 2096.9784718747.

The spelling of 9221082672 in words is "nine billion, two hundred twenty-one million, eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 599 696 1198 1392 1797 2396 3594 4792 7188 9584 11059 14376 17371 22118 28752 33177 34742 44236 52113 66354 69484 88472 104226 132708 138968 176944 208452 265416 277936 320711 416904 530832 641422 833808 962133 1282844 1924266 2565688 3848532 5131376 6624341 7697064 13248682 15394128 19873023 26497364 39746046 52994728 79492092 105989456 158984184 192105889 317968368 384211778 576317667 768423556 1152635334 1536847112 2305270668 3073694224 4610541336 9221082672