Search a number
-
+
1233220300 = 2252133171431
BaseRepresentation
bin100100110000001…
…0111001011001100
310011221112002012221
41021200113023030
510011201022200
6322212105124
742363125314
oct11140271314
93157462187
101233220300
11583136734
122a50051a4
13168656170
14b9ada444
15733ed91a
hex498172cc

1233220300 has 144 divisors (see below), whose sum is σ = 3023806464. Its totient is φ = 433440000.

The previous prime is 1233220297. The next prime is 1233220319. The reversal of 1233220300 is 30223321.

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 47 ways as a sum of consecutive naturals, for example, 2861085 + ... + 2861515.

It is an arithmetic number, because the mean of its divisors is an integer number (20998656).

Almost surely, 21233220300 is an apocalyptic number.

1233220300 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 1233220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

1233220300 is an abundant number, since it is smaller than the sum of its proper divisors (1790586164).

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

1233220300 is a wasteful number, since it uses less digits than its factorization.

1233220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1233220300 is about 35117.2365085865. The cubic root of 1233220300 is about 1072.3755123811.

Adding to 1233220300 its reverse (30223321), we get a palindrome (1263443621).

The spelling of 1233220300 in words is "one billion, two hundred thirty-three million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 71 100 124 130 142 155 260 284 310 325 355 403 431 620 650 710 775 806 862 923 1300 1420 1550 1612 1724 1775 1846 2015 2155 2201 3100 3550 3692 4030 4310 4402 4615 5603 7100 8060 8620 8804 9230 10075 10775 11005 11206 13361 18460 20150 21550 22010 22412 23075 26722 28015 28613 30601 40300 43100 44020 46150 53444 55025 56030 57226 61202 66805 92300 110050 112060 114452 122404 133610 140075 143065 153005 173693 220100 267220 280150 286130 306010 334025 347386 397813 560300 572260 612020 668050 694772 715325 765025 795626 868465 948631 1336100 1430650 1530050 1591252 1736930 1897262 1989065 2861300 3060100 3473860 3794524 3978130 4342325 4743155 7956260 8684650 9486310 9945325 12332203 17369300 18972620 19890650 23715775 24664406 39781300 47431550 49328812 61661015 94863100 123322030 246644060 308305075 616610150 1233220300