Search a number
-
+
2220011002000 = 245311163761643
BaseRepresentation
bin100000010011100010111…
…101111001100010010000
321212020020101100202121201
4200103202331321202100
5242333040304031000
64415505312200544
7316250641110541
oct40234275714220
97766211322551
102220011002000
11786557375a70
122ba305239154
13131466610b1c
14796404bc4c8
153cb3314296a
hex204e2f79890

2220011002000 has 160 divisors (see below), whose sum is σ = 5859657707904. Its totient is φ = 806770496000.

The previous prime is 2220011001983. The next prime is 2220011002003. The reversal of 2220011002000 is 2001100222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2220011002003) 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, 35983179 + ... + 36044821.

Almost surely, 22220011002000 is an apocalyptic number.

2220011002000 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 2220011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929828853952).

2220011002000 is an abundant number, since it is smaller than the sum of its proper divisors (3639646705904).

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

2220011002000 is a wasteful number, since it uses less digits than its factorization.

2220011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63314 (or 63298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2220011002000 its reverse (2001100222), we get a palindrome (2222012102222).

The spelling of 2220011002000 in words is "two trillion, two hundred twenty billion, eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1637 2000 2200 2750 3274 4400 5500 6548 8185 11000 13096 16370 18007 22000 26192 32740 36014 40925 61643 65480 72028 81850 90035 123286 130960 144056 163700 180070 204625 246572 288112 308215 327400 360140 409250 450175 493144 616430 654800 678073 720280 818500 900350 986288 1232860 1356146 1440560 1541075 1637000 1800700 2250875 2465720 2712292 3082150 3274000 3390365 3601400 4501750 4931440 5424584 6164300 6780730 7202800 7705375 9003500 10849168 12328600 13561460 15410750 16951825 18007000 24657200 27122920 30821500 33903650 36014000 54245840 61643000 67807300 84759125 100909591 123286000 135614600 169518250 201819182 271229200 339036500 403638364 504547955 678073000 807276728 1009095910 1110005501 1356146000 1614553456 2018191820 2220011002 2522739775 4036383640 4440022004 5045479550 5550027505 8072767280 8880044008 10090959100 11100055010 12613698875 17760088016 20181918200 22200110020 25227397750 27750137525 40363836400 44400220040 50454795500 55500275050 88800440080 100909591000 111000550100 138750687625 201819182000 222001100200 277501375250 444002200400 555002750500 1110005501000 2220011002000