Search a number
-
+
1322133000 = 23353440711
BaseRepresentation
bin100111011001110…
…0010011000001000
310102010211022111220
41032303202120020
510201431224000
6335105522040
744522642106
oct11663423010
93363738456
101322133000
11619345101
1230a943320
13180bb7226
14c7842c76
157b1131a0
hex4ece2608

1322133000 has 64 divisors (see below), whose sum is σ = 4125064320. Its totient is φ = 352568000.

The previous prime is 1322132969. The next prime is 1322133013. The reversal of 1322133000 is 3312231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217356 + ... + 223355.

It is an arithmetic number, because the mean of its divisors is an integer number (64454130).

Almost surely, 21322133000 is an apocalyptic number.

1322133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322133000 is an abundant number, since it is smaller than the sum of its proper divisors (2802931320).

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

1322133000 is a wasteful number, since it uses less digits than its factorization.

1322133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440735 (or 440721 counting only the distinct ones).

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

The square root of 1322133000 is about 36361.1468465999. The cubic root of 1322133000 is about 1097.5518557628.

Adding to 1322133000 its reverse (3312231), we get a palindrome (1325445231).

The spelling of 1322133000 in words is "one billion, three hundred twenty-two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 440711 881422 1322133 1762844 2203555 2644266 3525688 4407110 5288532 6610665 8814220 10577064 11017775 13221330 17628440 22035550 26442660 33053325 44071100 52885320 55088875 66106650 88142200 110177750 132213300 165266625 220355500 264426600 330533250 440711000 661066500 1322133000