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232030200 = 233522711427
BaseRepresentation
bin11011101010001…
…11111111111000
3121011121100121010
431311013333320
5433344431300
635005113520
75515136613
oct1565077770
9534540533
10232030200
11109a7a7a6
12658588a0
13390c039c
1422b5d17a
1515584a50
hexdd47ff8

232030200 has 96 divisors (see below), whose sum is σ = 722453760. Its totient is φ = 61603200.

The previous prime is 232030181. The next prime is 232030217. The reversal of 232030200 is 2030232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161887 + ... + 163313.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2232030200 is an apocalyptic number.

232030200 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 232030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361226880).

232030200 is an abundant number, since it is smaller than the sum of its proper divisors (490423560).

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

232030200 is a wasteful number, since it uses less digits than its factorization.

232030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232030200 is about 15232.5375430360. The cubic root of 232030200 is about 614.4900260402.

Adding to 232030200 its reverse (2030232), we get a palindrome (234060432).

The spelling of 232030200 in words is "two hundred thirty-two million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 271 300 542 600 813 1084 1355 1427 1626 2168 2710 2854 3252 4065 4281 5420 5708 6504 6775 7135 8130 8562 10840 11416 13550 14270 16260 17124 20325 21405 27100 28540 32520 34248 35675 40650 42810 54200 57080 71350 81300 85620 107025 142700 162600 171240 214050 285400 386717 428100 773434 856200 1160151 1546868 1933585 2320302 3093736 3867170 4640604 5800755 7734340 9281208 9667925 11601510 15468680 19335850 23203020 29003775 38671700 46406040 58007550 77343400 116015100 232030200