Search a number
-
+
22224544000 = 28532512767
BaseRepresentation
bin10100101100101011…
…111010000100000000
32010100212101210221021
4110230223322010000
5331003440402000
614113153035224
71414513335631
oct245453720400
963325353837
1022224544000
1194751a293a
124382b55b14
132132520a69
14110b911888
158a11d511a
hex52cafa100

22224544000 has 144 divisors (see below), whose sum is σ = 55604779776. Its totient is φ = 8851200000.

The previous prime is 22224543973. The next prime is 22224544019. The reversal of 22224544000 is 44542222.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8030617 + ... + 8033383.

It is an arithmetic number, because the mean of its divisors is an integer number (386144304).

Almost surely, 222224544000 is an apocalyptic number.

22224544000 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 22224544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27802389888).

22224544000 is an abundant number, since it is smaller than the sum of its proper divisors (33380235776).

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

22224544000 is an equidigital number, since it uses as much as digits as its factorization.

22224544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The spelling of 22224544000 in words is "twenty-two billion, two hundred twenty-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 251 256 320 400 500 502 640 800 1000 1004 1255 1280 1600 2000 2008 2510 2767 3200 4000 4016 5020 5534 6275 6400 8000 8032 10040 11068 12550 13835 16000 16064 20080 22136 25100 27670 31375 32000 32128 40160 44272 50200 55340 62750 64256 69175 80320 88544 100400 110680 125500 138350 160640 177088 200800 221360 251000 276700 321280 345875 354176 401600 442720 502000 553400 691750 694517 708352 803200 885440 1004000 1106800 1383500 1389034 1606400 1770880 2008000 2213600 2767000 2778068 3472585 3541760 4016000 4427200 5534000 5556136 6945170 8032000 8854400 11068000 11112272 13890340 17362925 17708800 22136000 22224544 27780680 34725850 44272000 44449088 55561360 69451700 86814625 88544000 88898176 111122720 138903400 173629250 177796352 222245440 277806800 347258500 444490880 555613600 694517000 888981760 1111227200 1389034000 2222454400 2778068000 4444908800 5556136000 11112272000 22224544000