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8921220381 = 3223294167541
BaseRepresentation
bin10000100111011111…
…10000010100011101
3212000201211221200200
420103233300110131
5121232313023011
64033124414113
7434035056603
oct102357602435
925021757620
108921220381
113868883a07
12188b847339
13ac2359538
14608b89873
15373319856
hex213bf051d

8921220381 has 96 divisors (see below), whose sum is σ = 14488830720. Its totient is φ = 5269017600.

The previous prime is 8921220313. The next prime is 8921220383. The reversal of 8921220381 is 1830221298.

8921220381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8921220381 - 223 = 8912831773 is a prime.

It is a super-2 number, since 2×89212203812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8921220383) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16489971 + ... + 16490511.

It is an arithmetic number, because the mean of its divisors is an integer number (150925320).

Almost surely, 28921220381 is an apocalyptic number.

It is an amenable number.

8921220381 is a deficient number, since it is larger than the sum of its proper divisors (5567610339).

8921220381 is a wasteful number, since it uses less digits than its factorization.

8921220381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8921220381 is about 94452.2121551422. The cubic root of 8921220381 is about 2073.9968349576.

The spelling of 8921220381 in words is "eight billion, nine hundred twenty-one million, two hundred twenty thousand, three hundred eighty-one".

Divisors: 1 3 9 23 29 41 67 69 87 123 201 207 261 369 541 603 667 943 1189 1541 1623 1943 2001 2747 2829 3567 4623 4869 5829 6003 8241 8487 10701 12443 13869 15689 17487 22181 24723 27347 36247 37329 44689 47067 63181 66543 79663 82041 108741 111987 134067 141201 189543 199629 238989 246123 326223 360847 402201 510163 568629 643249 716967 833681 1051163 1082541 1486127 1530489 1832249 1929747 2501043 3153489 3247623 4458381 4591467 5496747 5789241 7503129 9460467 13375143 14794727 16490241 24176749 34180921 43097683 44384181 72530247 102542763 129293049 133152543 217590741 307628289 387879147 991246709 2973740127 8921220381