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130222312 = 231117611427
BaseRepresentation
bin1111100001100…
…00100011101000
3100002000222102121
413300300203220
5231314103222
620531041024
73140604613
oct760604350
9302028377
10130222312
1167563a50
1237740174
1320c95a2c
141341b17a
15b6745c7
hex7c308e8

130222312 has 64 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 54758400.

The previous prime is 130222271. The next prime is 130222327. The reversal of 130222312 is 213222031.

It is a super-3 number, since 3×1302223123 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90543 + ... + 91969.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2130222312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

130222312 is an abundant number, since it is smaller than the sum of its proper divisors (156634328).

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

130222312 is a wasteful number, since it uses less digits than its factorization.

130222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130222312 is about 11411.4991127371. The cubic root of 130222312 is about 506.8683034779.

Adding to 130222312 its reverse (213222031), we get a palindrome (343444343).

The spelling of 130222312 in words is "one hundred thirty million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 61 68 88 122 136 187 244 374 488 671 748 1037 1342 1427 1496 2074 2684 2854 4148 5368 5708 8296 11407 11416 15697 22814 24259 31394 45628 48518 62788 87047 91256 97036 125576 174094 194072 266849 348188 533698 696376 957517 1067396 1479799 1915034 2134792 2959598 3830068 5919196 7660136 11838392 16277789 32555578 65111156 130222312