Search a number
-
+
152224656 = 24319832011
BaseRepresentation
bin10010001001011…
…00001110010000
3101121102210222020
421010230032100
5302432142111
623034411440
73525613443
oct1104541620
9347383866
10152224656
1178a21701
1242b90b80
13256ca67c
141630765a
15d56d906
hex912c390

152224656 has 80 divisors (see below), whose sum is σ = 419139840. Its totient is φ = 47468160.

The previous prime is 152224651. The next prime is 152224669. The reversal of 152224656 is 656422251.

It is not an unprimeable number, because it can be changed into a prime (152224651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74691 + ... + 76701.

It is an arithmetic number, because the mean of its divisors is an integer number (5239248).

Almost surely, 2152224656 is an apocalyptic number.

152224656 is a gapful number since it is divisible by the number (16) 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 152224656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209569920).

152224656 is an abundant number, since it is smaller than the sum of its proper divisors (266915184).

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

152224656 is a wasteful number, since it uses less digits than its factorization.

152224656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 152224656 is about 12337.9356458040. The cubic root of 152224656 is about 533.9431268246.

The spelling of 152224656 in words is "one hundred fifty-two million, two hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1577 1992 2011 3154 3984 4022 4731 6033 6308 8044 9462 12066 12616 16088 18924 24132 25232 32176 37848 38209 48264 75696 76418 96528 114627 152836 166913 229254 305672 333826 458508 500739 611344 667652 917016 1001478 1335304 1834032 2002956 2670608 3171347 4005912 6342694 8011824 9514041 12685388 19028082 25370776 38056164 50741552 76112328 152224656