Search a number
-
+
153022324 = 227133171191
BaseRepresentation
bin10010001111011…
…10111101110100
3101122221100011111
421013232331310
5303133203244
623103444404
73535445140
oct1107567564
9348840144
10153022324
1179416a34
12432b6704
1325919770
1416474220
15d679e34
hex91eef74

153022324 has 96 divisors (see below), whose sum is σ = 346816512. Its totient is φ = 57456000.

The previous prime is 153022313. The next prime is 153022349. The reversal of 153022324 is 423220351.

It is a junction number, because it is equal to n+sod(n) for n = 153022295 and 153022304.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 801069 + ... + 801259.

It is an arithmetic number, because the mean of its divisors is an integer number (3612672).

Almost surely, 2153022324 is an apocalyptic number.

153022324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153022324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173408256).

153022324 is an abundant number, since it is smaller than the sum of its proper divisors (193794188).

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

153022324 is a wasteful number, since it uses less digits than its factorization.

153022324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 153022324 is about 12370.2192381542. The cubic root of 153022324 is about 534.8741358208.

Adding to 153022324 its reverse (423220351), we get a palindrome (576242675).

The spelling of 153022324 in words is "one hundred fifty-three million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 71 91 124 142 182 191 217 284 364 382 403 434 497 764 806 868 923 994 1337 1612 1846 1988 2201 2483 2674 2821 3692 4402 4966 5348 5642 5921 6461 8804 9932 11284 11842 12922 13561 15407 17381 23684 25844 27122 28613 30814 34762 41447 54244 57226 61628 69524 76973 82894 94927 114452 153946 165788 176293 189854 200291 307892 352586 379708 400582 420391 538811 705172 801164 840782 1077622 1234051 1681564 2155244 2468102 2942737 4936204 5465083 5885474 10930166 11770948 21860332 38255581 76511162 153022324