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232132000 = 2553131443
BaseRepresentation
bin11011101011000…
…00110110100000
3121011210112020111
431311200312200
5433411211000
635011221104
75516042452
oct1565406640
9534715214
10232132000
1110a03a231
12658a7794
1339127819
1422b882d2
15155a4cba
hexdd60da0

232132000 has 96 divisors (see below), whose sum is σ = 575999424. Its totient is φ = 91936000.

The previous prime is 232131983. The next prime is 232132001. The reversal of 232132000 is 231232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232132001) by changing a digit.

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, 523779 + ... + 524221.

It is an arithmetic number, because the mean of its divisors is an integer number (5999994).

Almost surely, 2232132000 is an apocalyptic number.

232132000 is a gapful number since it is divisible by the number (20) 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 232132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287999712).

232132000 is an abundant number, since it is smaller than the sum of its proper divisors (343867424).

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

232132000 is a wasteful number, since it uses less digits than its factorization.

232132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232132000 is about 15235.8787078396. The cubic root of 232132000 is about 614.5798791979.

Adding to 232132000 its reverse (231232), we get a palindrome (232363232).

The spelling of 232132000 in words is "two hundred thirty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 443 500 524 655 800 886 1000 1048 1310 1772 2000 2096 2215 2620 3275 3544 4000 4192 4430 5240 6550 7088 8860 10480 11075 13100 14176 16375 17720 20960 22150 26200 32750 35440 44300 52400 55375 58033 65500 70880 88600 104800 110750 116066 131000 177200 221500 232132 262000 290165 354400 443000 464264 524000 580330 886000 928528 1160660 1450825 1772000 1857056 2321320 2901650 4642640 5803300 7254125 9285280 11606600 14508250 23213200 29016500 46426400 58033000 116066000 232132000