Search a number
-
+
3222224000000 = 21056201389
BaseRepresentation
bin101110111000111011100…
…001000101010000000000
3102102001010022221010122122
4232320323201011100000
5410243103321000000
610504134055023412
7451540500043025
oct56707341052000
912361108833578
103222224000000
1110325a0499025
124405a436ab68
131a4b1520c325
14b1d567c754c
1558c3dce2085
hex2ee3b845400

3222224000000 has 154 divisors (see below), whose sum is σ = 8051563540230. Its totient is φ = 1288883200000.

The previous prime is 3222223999963. The next prime is 3222224000057. The reversal of 3222224000000 is 4222223.

It can be written as a sum of positive squares in 7 ways, for example, as 3054609089536 + 167614910464 = 1747744^2 + 409408^2 .

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 15899306 + ... + 16100694.

Almost surely, 23222224000000 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 3222224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025781770115).

3222224000000 is an abundant number, since it is smaller than the sum of its proper divisors (4829339540230).

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

3222224000000 is an frugal number, since it uses more digits than its factorization.

3222224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201439 (or 201396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 3222224000000 its reverse (4222223), we get a palindrome (3222228222223).

The spelling of 3222224000000 in words is "three trillion, two hundred twenty-two billion, two hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 201389 250000 320000 400000 402778 500000 640000 800000 805556 1000000 1006945 1600000 1611112 2000000 2013890 3200000 3222224 4000000 4027780 5034725 6444448 8000000 8055560 10069450 12888896 16000000 16111120 20138900 25173625 25777792 32222240 40277800 50347250 51555584 64444480 80555600 100694500 103111168 125868125 128888960 161111200 201389000 206222336 251736250 257777920 322222400 402778000 503472500 515555840 629340625 644444800 805556000 1006945000 1031111680 1258681250 1288889600 1611112000 2013890000 2517362500 2577779200 3146703125 3222224000 4027780000 5034725000 5155558400 6293406250 6444448000 8055560000 10069450000 12586812500 12888896000 16111120000 20138900000 25173625000 25777792000 32222240000 40277800000 50347250000 64444480000 80555600000 100694500000 128888960000 161111200000 201389000000 322222400000 402778000000 644444800000 805556000000 1611112000000 3222224000000