Search a number
-
+
154231164 = 223229971523
BaseRepresentation
bin10010011000101…
…10000101111100
3101202012202101100
421030112011330
5303440344124
623145413100
73551641353
oct1114260574
9352182340
10154231164
117a07217a
124379a190
1325c50a59
14166aa99a
15d8181c9
hex931617c

154231164 has 72 divisors (see below), whose sum is σ = 407730960. Its totient is φ = 49093632.

The previous prime is 154231159. The next prime is 154231171. The reversal of 154231164 is 461132451.

It is a happy number.

154231164 is a `hidden beast` number, since 1 + 542 + 3 + 116 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100507 + ... + 102029.

It is an arithmetic number, because the mean of its divisors is an integer number (5662930).

Almost surely, 2154231164 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 154231164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203865480).

154231164 is an abundant number, since it is smaller than the sum of its proper divisors (253499796).

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

154231164 is a wasteful number, since it uses less digits than its factorization.

154231164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1654 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 154231164 is about 12418.9840164162. The cubic root of 154231164 is about 536.2789027081.

The spelling of 154231164 in words is "one hundred fifty-four million, two hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 97 116 174 194 261 291 348 388 522 582 873 1044 1164 1523 1746 2813 3046 3492 4569 5626 6092 8439 9138 11252 13707 16878 18276 25317 27414 33756 44167 50634 54828 88334 101268 132501 147731 176668 265002 295462 397503 443193 530004 590924 795006 886386 1329579 1590012 1772772 2659158 4284199 5318316 8568398 12852597 17136796 25705194 38557791 51410388 77115582 154231164