Search a number
-
+
230211231320 = 23572137384737
BaseRepresentation
bin1101011001100110101…
…0001001111001011000
3211000012211001020202202
43112121222021321120
512232433033400240
6253431345345332
722426564115420
oct3263152117130
9730184036682
10230211231320
11896a5269474
1238749338248
131892a3a1705
14b1dc5d3480
155ec58c5315
hex3599a89e58

230211231320 has 64 divisors (see below), whose sum is σ = 592250287680. Its totient is φ = 78892425216.

The previous prime is 230211231317. The next prime is 230211231323. The reversal of 230211231320 is 23132112032.

230211231320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230211231317) and next prime (230211231323).

It is a super-2 number, since 2×2302112313202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230211231292 and 230211231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230211231323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 405992 + ... + 790728.

It is an arithmetic number, because the mean of its divisors is an integer number (9253910745).

Almost surely, 2230211231320 is an apocalyptic number.

230211231320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230211231320 is an abundant number, since it is smaller than the sum of its proper divisors (362039056360).

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

230211231320 is a wasteful number, since it uses less digits than its factorization.

230211231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386892 (or 386888 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230211231320 its reverse (23132112032), we get a palindrome (253343343352).

The spelling of 230211231320 in words is "two hundred thirty billion, two hundred eleven million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2137 4274 8548 10685 14959 17096 21370 29918 42740 59836 74795 85480 119672 149590 299180 384737 598360 769474 1538948 1923685 2693159 3077896 3847370 5386318 7694740 10772636 13465795 15389480 21545272 26931590 53863180 107726360 822182969 1644365938 3288731876 4110914845 5755280783 6577463752 8221829690 11510561566 16443659380 23021123132 28776403915 32887318760 46042246264 57552807830 115105615660 230211231320