Search a number
-
+
1322275300 = 2252172926821
BaseRepresentation
bin100111011010000…
…0101000111100100
310102011002112201021
41032310011013210
510202000302200
6335112540524
744524104013
oct11664050744
93364075637
101322275300
11619432005
1230a9b1744
13180c36c28
14c787ca7a
157b14041a
hex4ed051e4

1322275300 has 72 divisors (see below), whose sum is σ = 3143001960. Its totient is φ = 480614400.

The previous prime is 1322275277. The next prime is 1322275301. The reversal of 1322275300 is 35722231.

It can be written as a sum of positive squares in 12 ways, for example, as 36192256 + 1286083044 = 6016^2 + 35862^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1322275301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35890 + ... + 62710.

It is an arithmetic number, because the mean of its divisors is an integer number (43652805).

Almost surely, 21322275300 is an apocalyptic number.

1322275300 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 1322275300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571500980).

1322275300 is an abundant number, since it is smaller than the sum of its proper divisors (1820726660).

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

1322275300 is a wasteful number, since it uses less digits than its factorization.

1322275300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26881 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 1322275300 is about 36363.1035529147. The cubic root of 1322275300 is about 1097.5912305272.

Adding to 1322275300 its reverse (35722231), we get a palindrome (1357997531).

The spelling of 1322275300 in words is "one billion, three hundred twenty-two million, two hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 26821 49300 53642 107284 134105 268210 455957 536420 670525 777809 911914 1341050 1555618 1823828 2279785 2682100 3111236 3889045 4559570 7778090 9119140 11398925 13222753 15556180 19445225 22797850 26445506 38890450 45595700 52891012 66113765 77780900 132227530 264455060 330568825 661137650 1322275300