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22668947920 = 245894437187
BaseRepresentation
bin10101000111001011…
…001011000111010000
32011111211121212111201
4111013023023013100
5332411222313140
614225230120544
71431520610113
oct250713130720
964454555451
1022668947920
119683037103
124487950154
1321a360b568
14115095457a
158ca21a49a
hex5472cb1d0

22668947920 has 80 divisors (see below), whose sum is σ = 53425241280. Its totient is φ = 8944212992.

The previous prime is 22668947869. The next prime is 22668947971. The reversal of 22668947920 is 2974986622.

It is an interprime number because it is at equal distance from previous prime (22668947869) and next prime (22668947971).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150567 + ... + 3157753.

It is an arithmetic number, because the mean of its divisors is an integer number (667815516).

Almost surely, 222668947920 is an apocalyptic number.

22668947920 is a gapful number since it is divisible by the number (20) 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 22668947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712620640).

22668947920 is an abundant number, since it is smaller than the sum of its proper divisors (30756293360).

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

22668947920 is a wasteful number, since it uses less digits than its factorization.

22668947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 22668947920 in words is "twenty-two billion, six hundred sixty-eight million, nine hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 443 445 712 886 890 1424 1772 1780 2215 3544 3560 4430 7088 7120 7187 8860 14374 17720 28748 35440 35935 39427 57496 71870 78854 114992 143740 157708 197135 287480 315416 394270 574960 630832 639643 788540 1279286 1577080 2558572 3154160 3183841 3198215 5117144 6367682 6396430 10234288 12735364 12792860 15919205 25470728 25585720 31838410 50941456 51171440 63676820 127353640 254707280 283361849 566723698 1133447396 1416809245 2266894792 2833618490 4533789584 5667236980 11334473960 22668947920