Search a number
-
+
1224140200 = 235210160601
BaseRepresentation
bin100100011110110…
…1110010110101000
310011022102202122221
41020331232112220
510001334441300
6321245323424
742223006603
oct11075562650
93138382587
101224140200
11578aa4718
122a1b66574
131667c721a
14b881533a
157270831a
hex48f6e5a8

1224140200 has 48 divisors (see below), whose sum is σ = 2874352860. Its totient is φ = 484800000.

The previous prime is 1224140171. The next prime is 1224140207. The reversal of 1224140200 is 20414221.

It can be written as a sum of positive squares in 6 ways, for example, as 1088604036 + 135536164 = 32994^2 + 11642^2 .

It is not an unprimeable number, because it can be changed into a prime (1224140207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10101 + ... + 50500.

Almost surely, 21224140200 is an apocalyptic number.

1224140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224140200 is an abundant number, since it is smaller than the sum of its proper divisors (1650212660).

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

1224140200 is a wasteful number, since it uses less digits than its factorization.

1224140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60718 (or 60709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1224140200 is about 34987.7149868350. The cubic root of 1224140200 is about 1069.7370885769.

Adding to 1224140200 its reverse (20414221), we get a palindrome (1244554421).

It can be divided in two parts, 12241 and 40200, that added together give a square (52441 = 2292).

The spelling of 1224140200 in words is "one billion, two hundred twenty-four million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 60601 121202 242404 303005 484808 606010 1212020 1515025 2424040 3030050 6060100 6120701 12120200 12241402 24482804 30603505 48965608 61207010 122414020 153017525 244828040 306035050 612070100 1224140200