Search a number
-
+
152355344224 = 25171109325247
BaseRepresentation
bin1000110111100100010…
…1100000111101100000
3112120020220110101201211
42031321011200331200
54444010432003344
6153554023435504
714002336026016
oct2157105407540
9476226411654
10152355344224
1159682690126
122563b5b5b94
13114a0531375
1475345088b6
153e6a784334
hex2379160f60

152355344224 has 48 divisors (see below), whose sum is σ = 317634887808. Its totient is φ = 71687329792.

The previous prime is 152355344201. The next prime is 152355344227. The reversal of 152355344224 is 422443553251.

It is a super-2 number, since 2×1523553442242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152355344227) 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 7 ways as a sum of consecutive naturals, for example, 6021969 + ... + 6047215.

It is an arithmetic number, because the mean of its divisors is an integer number (6617393496).

Almost surely, 2152355344224 is an apocalyptic number.

It is an amenable number.

152355344224 is an abundant number, since it is smaller than the sum of its proper divisors (165279543584).

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

152355344224 is a wasteful number, since it uses less digits than its factorization.

152355344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36367 (or 36359 counting only the distinct ones).

The product of its digits is 576000, while the sum is 40.

Adding to 152355344224 its reverse (422443553251), we get a palindrome (574798897475).

The spelling of 152355344224 in words is "one hundred fifty-two billion, three hundred fifty-five million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 11093 22186 25247 44372 50494 88744 100988 177488 188581 201976 354976 377162 403952 429199 754324 807904 858398 1508648 1716796 3017296 3433592 6034592 6867184 13734368 280064971 560129942 1120259884 2240519768 4481039536 4761104507 8962079072 9522209014 19044418028 38088836056 76177672112 152355344224