Search a number
-
+
1335224100 = 223527635821
BaseRepresentation
bin100111110010101…
…1110011100100100
310110001110102010110
41033211132130210
510213304132400
6340254253020
745042134430
oct11745363444
93401412113
101335224100
116257766a1
123131b7170
1318381ba42
14c948d9c0
157c34be50
hex4f95e724

1335224100 has 72 divisors (see below), whose sum is σ = 4415147968. Its totient is φ = 305193600.

The previous prime is 1335224053. The next prime is 1335224101. The reversal of 1335224100 is 14225331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1335224101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315811 + ... + 320010.

Almost surely, 21335224100 is an apocalyptic number.

1335224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335224100 is an abundant number, since it is smaller than the sum of its proper divisors (3079923868).

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

1335224100 is a wasteful number, since it uses less digits than its factorization.

1335224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635845 (or 635838 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1335224100 is about 36540.7183837428. The cubic root of 1335224100 is about 1101.1624350652.

Adding to 1335224100 its reverse (14225331), we get a palindrome (1349449431).

The spelling of 1335224100 in words is "one billion, three hundred thirty-five million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 635821 1271642 1907463 2543284 3179105 3814926 4450747 6358210 7629852 8901494 9537315 12716420 13352241 15895525 17802988 19074630 22253735 26704482 31791050 38149260 44507470 47686575 53408964 63582100 66761205 89014940 95373150 111268675 133522410 190746300 222537350 267044820 333806025 445074700 667612050 1335224100