Search a number
-
+
1244100200 = 235272126949
BaseRepresentation
bin100101000100111…
…0111011001101000
310012200222211122012
41022021313121220
510021442201300
6323241215052
742554451200
oct11211673150
93180884565
101244100200
11589297992
122a8791488
1316a995385
14bb32d400
157434c435
hex4a277668

1244100200 has 72 divisors (see below), whose sum is σ = 3364809750. Its totient is φ = 426545280.

The previous prime is 1244100181. The next prime is 1244100211. The reversal of 1244100200 is 20014421.

It can be written as a sum of positive squares in 3 ways, for example, as 651372484 + 592727716 = 25522^2 + 24346^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53675 + ... + 73274.

Almost surely, 21244100200 is an apocalyptic number.

1244100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244100200 is an abundant number, since it is smaller than the sum of its proper divisors (2120709550).

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

1244100200 is a wasteful number, since it uses less digits than its factorization.

1244100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126979 (or 126963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1244100200 is about 35271.8046036774. The cubic root of 1244100200 is about 1075.5199071587.

Adding to 1244100200 its reverse (20014421), we get a palindrome (1264114621).

The spelling of 1244100200 in words is "one billion, two hundred forty-four million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 126949 253898 507796 634745 888643 1015592 1269490 1777286 2538980 3173725 3554572 4443215 5077960 6220501 6347450 7109144 8886430 12441002 12694900 17772860 22216075 24882004 25389800 31102505 35545720 44432150 49764008 62205010 88864300 124410020 155512525 177728600 248820040 311025050 622050100 1244100200