Search a number
-
+
1233224300 = 2252711160159
BaseRepresentation
bin100100110000001…
…1000001001101100
310011221112021201002
41021200120021230
510011201134200
6322212135432
742363143060
oct11140301154
93157467632
101233224300
11583139740
122a5007578
13168657c29
14b9adbaa0
15733eebd5
hex4981826c

1233224300 has 72 divisors (see below), whose sum is σ = 3336453120. Its totient is φ = 384379200.

The previous prime is 1233224287. The next prime is 1233224309. The reversal of 1233224300 is 34223321.

It is a super-2 number, since 2×12332243002 = 3041684348220980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1233224309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72380 + ... + 87779.

Almost surely, 21233224300 is an apocalyptic number.

1233224300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233224300 is an abundant number, since it is smaller than the sum of its proper divisors (2103228820).

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

1233224300 is a wasteful number, since it uses less digits than its factorization.

1233224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160191 (or 160184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1233224300 is about 35117.2934606299. The cubic root of 1233224300 is about 1072.3766718109.

Adding to 1233224300 its reverse (34223321), we get a palindrome (1267447621).

The spelling of 1233224300 in words is "one billion, two hundred thirty-three million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 160159 320318 640636 800795 1121113 1601590 1761749 2242226 3203180 3523498 4003975 4484452 5605565 7046996 8007950 8808745 11211130 12332243 16015900 17617490 22422260 24664486 28027825 35234980 44043725 49328972 56055650 61661215 88087450 112111300 123322430 176174900 246644860 308306075 616612150 1233224300