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22149944800 = 2552291675717
BaseRepresentation
bin10100101000001111…
…010101010111100000
32010011200000210001221
4110220033111113200
5330330341213200
614101530104424
71412616265354
oct245017252740
963150023057
1022149944800
119437080405
124361b7b114
13211cc31a19
141101a53464
1589989b91a
hex5283d55e0

22149944800 has 144 divisors (see below), whose sum is σ = 56282960160. Its totient is φ = 8501749760.

The previous prime is 22149944777. The next prime is 22149944801. The reversal of 22149944800 is 844994122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22149944801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871542 + ... + 3877258.

It is an arithmetic number, because the mean of its divisors is an integer number (390853890).

Almost surely, 222149944800 is an apocalyptic number.

22149944800 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 22149944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141480080).

22149944800 is an abundant number, since it is smaller than the sum of its proper divisors (34133015360).

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

22149944800 is a wasteful number, since it uses less digits than its factorization.

22149944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 22149944800 in words is "twenty-two billion, one hundred forty-nine million, nine hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 167 200 232 290 334 400 464 580 668 725 800 835 928 1160 1336 1450 1670 2320 2672 2900 3340 4175 4640 4843 5344 5717 5800 6680 8350 9686 11434 11600 13360 16700 19372 22868 23200 24215 26720 28585 33400 38744 45736 48430 57170 66800 77488 91472 96860 114340 121075 133600 142925 154976 165793 182944 193720 228680 242150 285850 331586 387440 457360 484300 571700 663172 774880 828965 914720 954739 968600 1143400 1326344 1657930 1909478 1937200 2286800 2652688 3315860 3818956 3874400 4144825 4573600 4773695 5305376 6631720 7637912 8289650 9547390 13263440 15275824 16579300 19094780 23868475 26526880 27687431 30551648 33158600 38189560 47736950 55374862 66317200 76379120 95473900 110749724 132634400 138437155 152758240 190947800 221499448 276874310 381895600 442998896 553748620 692185775 763791200 885997792 1107497240 1384371550 2214994480 2768743100 4429988960 5537486200 11074972400 22149944800