Search a number
-
+
2232223230000 = 2435474407441
BaseRepresentation
bin100000011110111010110…
…111110110100000110000
321220101202110211020001110
4200132322313312200300
5243033043121330000
64425245202433320
7320162400251031
oct40367267664060
97811673736043
102232223230000
11790753901685
12300753062840
1313266172163a
147a07c382a88
153d0ea335850
hex207badf6830

2232223230000 has 100 divisors (see below), whose sum is σ = 7205914313048. Its totient is φ = 595259520000.

The previous prime is 2232223229993. The next prime is 2232223230037. The reversal of 2232223230000 is 323222322.

2232223230000 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 (100).

It is a super-3 number, since 3×22322232300003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37173721 + ... + 37233720.

Almost surely, 22232223230000 is an apocalyptic number.

2232223230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232223230000 is an abundant number, since it is smaller than the sum of its proper divisors (4973691083048).

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

2232223230000 is an equidigital number, since it uses as much as digits as its factorization.

2232223230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74407472 (or 74407451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 2232223230000 its reverse (323222322), we get a palindrome (2232546452322).

The spelling of 2232223230000 in words is "two trillion, two hundred thirty-two billion, two hundred twenty-three million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 74407441 148814882 223222323 297629764 372037205 446444646 595259528 744074410 892889292 1116111615 1190519056 1488148820 1785778584 1860186025 2232223230 2976297640 3571557168 3720372050 4464446460 5580558075 5952595280 7440744100 8928892920 9300930125 11161116150 14881488200 17857785840 18601860250 22322232300 27902790375 29762976400 37203720500 44644464600 46504650625 55805580750 74407441000 89288929200 93009301250 111611161500 139513951875 148814882000 186018602500 223222323000 279027903750 372037205000 446444646000 558055807500 744074410000 1116111615000 2232223230000