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230230132200 = 233252316740387
BaseRepresentation
bin1101011001101011001…
…0010000010111101000
3211000021010121111220100
43112122302100113220
512233002403212300
6253433302425400
722430213556135
oct3263262202750
9730233544810
10230230132200
11897049a8a32
1238753732260
131893128b773
14b200d1358c
155ec73aa700
hex359ac905e8

230230132200 has 144 divisors (see below), whose sum is σ = 773452817280. Its totient is φ = 61373796480.

The previous prime is 230230132199. The next prime is 230230132207. The reversal of 230230132200 is 2231032032.

It is a happy number.

230230132200 is a `hidden beast` number, since 2 + 302 + 30 + 132 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230230132207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5680407 + ... + 5720793.

It is an arithmetic number, because the mean of its divisors is an integer number (5371200120).

Almost surely, 2230230132200 is an apocalyptic number.

230230132200 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 230230132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386726408640).

230230132200 is an abundant number, since it is smaller than the sum of its proper divisors (543222685080).

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

230230132200 is a wasteful number, since it uses less digits than its factorization.

230230132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43576 (or 43564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230230132200 its reverse (2231032032), we get a palindrome (232461164232).

The spelling of 230230132200 in words is "two hundred thirty billion, two hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3167 6334 9501 12668 15835 19002 25336 28503 31670 38004 40387 47505 57006 63340 76008 79175 80774 95010 114012 121161 126680 142515 158350 161548 190020 201935 228024 237525 242322 285030 316700 323096 363483 380040 403870 475050 484644 570060 605805 633400 712575 726966 807740 950100 969288 1009675 1140120 1211610 1425150 1453932 1615480 1817415 1900200 2019350 2423220 2850300 2907864 3029025 3634830 4038700 4846440 5700600 6058050 7269660 8077400 9087075 12116100 14539320 18174150 24232200 36348300 72696600 127905629 255811258 383716887 511622516 639528145 767433774 1023245032 1151150661 1279056290 1534867548 1918584435 2302301322 2558112580 3069735096 3197640725 3837168870 4604602644 5116225160 5755753305 6395281450 7674337740 9209205288 9592922175 11511506610 12790562900 15348675480 19185844350 23023013220 25581125800 28778766525 38371688700 46046026440 57557533050 76743377400 115115066100 230230132200