Search a number
-
+
152182224 = 24323173467
BaseRepresentation
bin10010001001000…
…01110111010000
3101121100122202200
421010201313100
5302424312344
623033443200
73525345645
oct1104416720
9347318680
10152182224
11789a2837
1242b70500
13256b426c
14162d5dcc
15d561069
hex9121dd0

152182224 has 120 divisors (see below), whose sum is σ = 446614272. Its totient is φ = 48314880.

The previous prime is 152182213. The next prime is 152182231. The reversal of 152182224 is 422281251.

152182224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325639 + ... + 326105.

Almost surely, 2152182224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152182224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223307136).

152182224 is an abundant number, since it is smaller than the sum of its proper divisors (294432048).

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

152182224 is a wasteful number, since it uses less digits than its factorization.

152182224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 152182224 is about 12336.2159514172. The cubic root of 152182224 is about 533.8935107270.

The spelling of 152182224 in words is "one hundred fifty-two million, one hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 73 93 124 144 146 186 219 248 279 292 372 438 467 496 558 584 657 744 876 934 1116 1168 1314 1401 1488 1752 1868 2232 2263 2628 2802 3504 3736 4203 4464 4526 5256 5604 6789 7472 8406 9052 10512 11208 13578 14477 16812 18104 20367 22416 27156 28954 33624 34091 36208 40734 43431 54312 57908 67248 68182 81468 86862 102273 108624 115816 130293 136364 162936 173724 204546 231632 260586 272728 306819 325872 347448 409092 521172 545456 613638 694896 818184 1042344 1056821 1227276 1636368 2084688 2113642 2454552 3170463 4227284 4909104 6340926 8454568 9511389 12681852 16909136 19022778 25363704 38045556 50727408 76091112 152182224