Search a number
-
+
2002022220 = 2235115951413
BaseRepresentation
bin111011101010100…
…0110111101001100
312011112011021012010
41313111012331030
513100004202340
6530354141220
7100416623322
oct16725067514
95145137163
102002022220
119380a8a20
1247a581810
1325ba04943
1414dc63d12
15bab61b80
hex77546f4c

2002022220 has 96 divisors (see below), whose sum is σ = 6219037440. Its totient is φ = 477103360.

The previous prime is 2002022207. The next prime is 2002022263. The reversal of 2002022220 is 222202002.

2002022220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002022196 and 2002022205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13234 + ... + 64646.

It is an arithmetic number, because the mean of its divisors is an integer number (64781640).

Almost surely, 22002022220 is an apocalyptic number.

2002022220 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 2002022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109518720).

2002022220 is an abundant number, since it is smaller than the sum of its proper divisors (4217015220).

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

2002022220 is a wasteful number, since it uses less digits than its factorization.

2002022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002022220 is about 44743.9629447370. The cubic root of 2002022220 is about 1260.3455464470.

Adding to 2002022220 its reverse (222202002), we get a palindrome (2224224222).

The spelling of 2002022220 in words is "two billion, two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 51413 102826 154239 205652 257065 308478 514130 565543 616956 771195 1028260 1131086 1542390 1696629 2262172 2827715 3033367 3084780 3393258 5655430 6066734 6786516 8483145 9100101 11310860 12133468 15166835 16966290 18200202 30333670 33367037 33932580 36400404 45500505 60667340 66734074 91001010 100101111 133468148 166835185 182002020 200202222 333670370 400404444 500505555 667340740 1001011110 2002022220