Search a number
-
+
2221121022000 = 243531971879121
BaseRepresentation
bin100000010100100101001…
…000010010100000110000
321212100002202001121210120
4200110211020102200300
5242342323440201000
64420211403530240
7316320310115466
oct40244510224060
97770082047716
102221121022000
11786a76a04471
122ba574b29980
131315b258c4aa
1479707aa8836
153cb9a8076a0
hex20525212830

2221121022000 has 160 divisors (see below), whose sum is σ = 7197247721664. Its totient is φ = 589292032000.

The previous prime is 2221121021989. The next prime is 2221121022007. The reversal of 2221121022000 is 2201211222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2221121022007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242440 + ... + 2121560.

Almost surely, 22221121022000 is an apocalyptic number.

2221121022000 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 2221121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598623860832).

2221121022000 is an abundant number, since it is smaller than the sum of its proper divisors (4976126699664).

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

2221121022000 is a wasteful number, since it uses less digits than its factorization.

2221121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879344 (or 1879328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2221121022000 its reverse (2201211222), we get a palindrome (2223322233222).

The spelling of 2221121022000 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 197 200 240 250 300 375 394 400 500 591 600 750 788 985 1000 1182 1200 1500 1576 1970 2000 2364 2955 3000 3152 3940 4728 4925 5910 6000 7880 9456 9850 11820 14775 15760 19700 23640 24625 29550 39400 47280 49250 59100 73875 78800 98500 118200 147750 197000 236400 295500 394000 591000 1182000 1879121 3758242 5637363 7516484 9395605 11274726 15032968 18791210 22549452 28186815 30065936 37582420 45098904 46978025 56373630 75164840 90197808 93956050 112747260 140934075 150329680 187912100 225494520 234890125 281868150 370186837 375824200 450989040 469780250 563736300 704670375 740373674 751648400 939560500 1110560511 1127472600 1409340750 1480747348 1850934185 1879121000 2221121022 2254945200 2818681500 2961494696 3701868370 3758242000 4442242044 5552802555 5637363000 5922989392 7403736740 8884484088 9254670925 11105605110 11274726000 14807473480 17768968176 18509341850 22211210220 27764012775 29614946960 37018683700 44422420440 46273354625 55528025550 74037367400 88844840880 92546709250 111056051100 138820063875 148074734800 185093418500 222112102200 277640127750 370186837000 444224204400 555280255500 740373674000 1110560511000 2221121022000