Search a number
-
+
229852512 = 25331715649
BaseRepresentation
bin11011011001101…
…00010101100000
3121000111201101000
431230310111200
5432320240022
634450312000
75460466641
oct1554642540
9530451330
10229852512
1110882265a
1264b88600
133880a106
14227536c8
15152a46ac
hexdb34560

229852512 has 96 divisors (see below), whose sum is σ = 709884000. Its totient is φ = 72105984.

The previous prime is 229852499. The next prime is 229852523. The reversal of 229852512 is 215258922.

229852512 is a `hidden beast` number, since 2 + 2 + 98 + 52 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 6864 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (7394625).

Almost surely, 2229852512 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 229852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354942000).

229852512 is an abundant number, since it is smaller than the sum of its proper divisors (480031488).

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

229852512 is a wasteful number, since it uses less digits than its factorization.

229852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15671 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 229852512 is about 15160.8875729622. The cubic root of 229852512 is about 612.5615760390.

The spelling of 229852512 in words is "two hundred twenty-nine million, eight hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 15649 31298 46947 62596 93894 125192 140841 187788 250384 266033 281682 375576 422523 500768 532066 563364 751152 798099 845046 1064132 1126728 1502304 1596198 1690092 2128264 2253456 2394297 3192396 3380184 4256528 4506912 4788594 6384792 6760368 7182891 8513056 9577188 12769584 13520736 14365782 19154376 25539168 28731564 38308752 57463128 76617504 114926256 229852512