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152211147 = 311193141191
BaseRepresentation
bin10010001001010…
…00111011001011
3101121102010102220
421010220323023
5302431224042
623034225123
73525526164
oct1104507313
9347363386
10152211147
1178a12540
1242b851a3
13256c448a
141630276b
15d5698ec
hex9128ecb

152211147 has 64 divisors (see below), whose sum is σ = 247726080. Its totient is φ = 82080000.

The previous prime is 152211121. The next prime is 152211161. The reversal of 152211147 is 741112251.

It is not a de Polignac number, because 152211147 - 218 = 151949003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796822 + ... + 797012.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2152211147 is an apocalyptic number.

152211147 is a deficient number, since it is larger than the sum of its proper divisors (95514933).

152211147 is a wasteful number, since it uses less digits than its factorization.

152211147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its digits is 560, while the sum is 24.

The square root of 152211147 is about 12337.3881757850. The cubic root of 152211147 is about 533.9273316369.

Adding to 152211147 its reverse (741112251), we get a palindrome (893323398).

The spelling of 152211147 in words is "one hundred fifty-two million, two hundred eleven thousand, one hundred forty-seven".

Divisors: 1 3 11 19 31 33 41 57 93 123 191 209 341 451 573 589 627 779 1023 1271 1353 1767 2101 2337 3629 3813 5921 6303 6479 7831 8569 10887 13981 17763 19437 23493 24149 25707 39919 41943 65131 72447 86141 112499 119757 148789 195393 242761 258423 265639 337497 446367 728283 796917 1237489 1636679 2670371 3712467 4612459 4910037 8011113 13837377 50737049 152211147