Search a number
-
+
3222113022000 = 243253179006279
BaseRepresentation
bin101110111000110100111…
…001101111000000110000
3102102000211121002212110100
4232320310321233000300
5410242341413201000
610504115052232400
7451534651536015
oct56706471570060
912360747085410
103222113022000
111032543889674
1244057316b700
131a4ac8223a82
14b1d45b7970c
1558c341bea00
hex2ee34e6f030

3222113022000 has 120 divisors (see below), whose sum is σ = 11253766811040. Its totient is φ = 859230134400.

The previous prime is 3222113021951. The next prime is 3222113022001. The reversal of 3222113022000 is 2203112223.

3222113022000 is a `hidden beast` number, since 322 + 21 + 1 + 302 + 20 + 0 + 0 = 666.

3222113022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3222113022001) 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, 89485140 + ... + 89521139.

It is an arithmetic number, because the mean of its divisors is an integer number (93781390092).

Almost surely, 23222113022000 is an apocalyptic number.

3222113022000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3222113022000 is an abundant number, since it is smaller than the sum of its proper divisors (8031653789040).

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

3222113022000 is a wasteful number, since it uses less digits than its factorization.

3222113022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179006308 (or 179006289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3222113022000 its reverse (2203112223), we get a palindrome (3224316134223).

The spelling of 3222113022000 in words is "three trillion, two hundred twenty-two billion, one hundred thirteen million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 179006279 358012558 537018837 716025116 895031395 1074037674 1432050232 1611056511 1790062790 2148075348 2685094185 2864100464 3222113022 3580125580 4296150696 4475156975 5370188370 6444226044 7160251160 8055282555 8592301392 8950313950 10740376740 12888452088 13425470925 14320502320 16110565110 17900627900 21480753480 22375784875 25776904176 26850941850 32221130220 35801255800 40276412775 42961506960 44751569750 53701883700 64442260440 67127354625 71602511600 80552825550 89503139500 107403767400 128884520880 134254709250 161105651100 179006279000 201382063875 214807534800 268509418500 322211302200 358012558000 402764127750 537018837000 644422604400 805528255500 1074037674000 1611056511000 3222113022000