Search a number
-
+
322133130 = 2325111073041
BaseRepresentation
bin10011001100110…
…101110010001010
3211110011001120200
4103030311302022
51124431230010
651544233030
710661041434
oct2314656212
9743131520
10322133130
11155921430
128ba6b776
135197a127
1430ad5654
151d431cc0
hex13335c8a

322133130 has 96 divisors (see below), whose sum is σ = 922529088. Its totient is φ = 77337600.

The previous prime is 322133129. The next prime is 322133143. The reversal of 322133130 is 31331223.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104410 + ... + 107450.

It is an arithmetic number, because the mean of its divisors is an integer number (9609678).

Almost surely, 2322133130 is an apocalyptic number.

322133130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 322133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461264544).

322133130 is an abundant number, since it is smaller than the sum of its proper divisors (600395958).

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

322133130 is a wasteful number, since it uses less digits than its factorization.

322133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 322133130 is about 17948.0675840047. The cubic root of 322133130 is about 685.5068477818.

Adding to 322133130 its reverse (31331223), we get a palindrome (353464353).

The spelling of 322133130 in words is "three hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 107 110 165 198 214 321 330 495 535 642 963 990 1070 1177 1605 1926 2354 3041 3210 3531 4815 5885 6082 7062 9123 9630 10593 11770 15205 17655 18246 21186 27369 30410 33451 35310 45615 52965 54738 66902 91230 100353 105930 136845 167255 200706 273690 301059 325387 334510 501765 602118 650774 976161 1003530 1505295 1626935 1952322 2928483 3010590 3253870 3579257 4880805 5856966 7158514 9761610 10737771 14642415 17896285 21475542 29284830 32213313 35792570 53688855 64426626 107377710 161066565 322133130