Search a number
-
+
1220310330 = 235438531109
BaseRepresentation
bin100100010111100…
…0111010100111010
310011001020012001220
41020233013110322
54444344412310
6321031252510
742145316031
oct11057072472
93131205056
101220310330
11576919238
122a081a136
13165a85c25
14b80d9718
15721ed670
hex48bc753a

1220310330 has 64 divisors (see below), whose sum is σ = 3003073920. Its totient is φ = 317189376.

The previous prime is 1220310293. The next prime is 1220310349. The reversal of 1220310330 is 330130221.

1220310330 is digitally balanced in base 4, 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 (15).

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, 1099816 + ... + 1100924.

It is an arithmetic number, because the mean of its divisors is an integer number (46923030).

Almost surely, 21220310330 is an apocalyptic number.

1220310330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501536960).

1220310330 is an abundant number, since it is smaller than the sum of its proper divisors (1782763590).

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

1220310330 is a wasteful number, since it uses less digits than its factorization.

1220310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1220310330 is about 34932.9404717095. The cubic root of 1220310330 is about 1068.6203226951.

Adding to 1220310330 its reverse (330130221), we get a palindrome (1550440551).

The spelling of 1220310330 in words is "one billion, two hundred twenty million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 853 1109 1290 1706 2218 2559 3327 4265 5118 5545 6654 8530 11090 12795 16635 25590 33270 36679 47687 73358 95374 110037 143061 183395 220074 238435 286122 366790 476870 550185 715305 945977 1100370 1430610 1891954 2837931 4729885 5675862 9459770 14189655 28379310 40677011 81354022 122031033 203385055 244062066 406770110 610155165 1220310330