Search a number
-
+
1122320220 = 223573836977
BaseRepresentation
bin100001011100101…
…0011111101011100
32220012211202220120
41002321103331130
54244303221340
6303211114540
736545364420
oct10271237534
92805752816
101122320220
1152657a87a
12273a42a50
1314b697208
14a90acb80
15687e44d0
hex42e53f5c

1122320220 has 96 divisors (see below), whose sum is σ = 3601317888. Its totient is φ = 255823872.

The previous prime is 1122320203. The next prime is 1122320237. The reversal of 1122320220 is 220232211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1122320203) and next prime (1122320237).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122320220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157372 + ... + 164348.

It is an arithmetic number, because the mean of its divisors is an integer number (37513728).

Almost surely, 21122320220 is an apocalyptic number.

1122320220 is a gapful number since it is divisible by the number (10) 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 1122320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800658944).

1122320220 is an abundant number, since it is smaller than the sum of its proper divisors (2478997668).

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

1122320220 is a wasteful number, since it uses less digits than its factorization.

1122320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1122320220 is about 33501.0480433075. The cubic root of 1122320220 is about 1039.2154524397.

Adding to 1122320220 its reverse (220232211), we get a palindrome (1342552431).

The spelling of 1122320220 in words is "one billion, one hundred twenty-two million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 383 420 766 1149 1532 1915 2298 2681 3830 4596 5362 5745 6977 7660 8043 10724 11490 13405 13954 16086 20931 22980 26810 27908 32172 34885 40215 41862 48839 53620 69770 80430 83724 97678 104655 139540 146517 160860 195356 209310 244195 293034 418620 488390 586068 732585 976780 1465170 2672191 2930340 5344382 8016573 10688764 13360955 16033146 18705337 26721910 32066292 37410674 40082865 53443820 56116011 74821348 80165730 93526685 112232022 160331460 187053370 224464044 280580055 374106740 561160110 1122320220