Search a number
-
+
221130222120 = 23325922766571
BaseRepresentation
bin1100110111110001100…
…0110110101000101000
3210010202221112012000200
43031330120312220220
512110333314101440
6245330312032200
721655545606063
oct3157430665050
9703687465020
10221130222120
1185865277895
1236a34092660
1317b10bc98a2
14a9ba5318da
155b43545c30
hex337c636a28

221130222120 has 96 divisors (see below), whose sum is σ = 718761906720. Its totient is φ = 58960782720.

The previous prime is 221130222097. The next prime is 221130222143. The reversal of 221130222120 is 21222031122.

221130222120 is a `hidden beast` number, since 221 + 1 + 302 + 22 + 120 = 666.

221130222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221130222097) and next prime (221130222143).

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

It is a junction number, because it is equal to n+sod(n) for n = 221130222093 and 221130222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3288435 + ... + 3355005.

It is an arithmetic number, because the mean of its divisors is an integer number (7487103195).

Almost surely, 2221130222120 is an apocalyptic number.

221130222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221130222120 is an abundant number, since it is smaller than the sum of its proper divisors (497631684600).

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

221130222120 is a wasteful number, since it uses less digits than its factorization.

221130222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815 (or 75808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221130222120 its reverse (21222031122), we get a palindrome (242352253242).

The spelling of 221130222120 in words is "two hundred twenty-one billion, one hundred thirty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9227 18454 27681 36908 46135 55362 66571 73816 83043 92270 110724 133142 138405 166086 184540 199713 221448 266284 276810 332172 332855 369080 399426 415215 532568 553620 599139 664344 665710 798852 830430 998565 1107240 1198278 1331420 1597704 1660860 1997130 2396556 2662840 2995695 3321720 3994260 4793112 5991390 7988520 11982780 23965560 614250617 1228501234 1842751851 2457002468 3071253085 3685503702 4914004936 5528255553 6142506170 7371007404 9213759255 11056511106 12285012340 14742014808 18427518510 22113022212 24570024680 27641277765 36855037020 44226044424 55282555530 73710074040 110565111060 221130222120