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230221103000 = 23537131251059
BaseRepresentation
bin1101011001101000111…
…1110011111110011000
3211000020111121210011112
43112122033303332120
512232443100244000
6253432341115452
722430044042010
oct3263217637630
9730214553145
10230221103000
11896aa8a1189
12387506b8b88
131892c449a45
14b1dda42c40
155ec66c5235
hex359a3f3f98

230221103000 has 128 divisors (see below), whose sum is σ = 620379302400. Its totient is φ = 78330096000.

The previous prime is 230221102997. The next prime is 230221103017. The reversal of 230221103000 is 301122032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791471 + ... + 1042529.

It is an arithmetic number, because the mean of its divisors is an integer number (4846713300).

Almost surely, 2230221103000 is an apocalyptic number.

230221103000 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 230221103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310189651200).

230221103000 is an abundant number, since it is smaller than the sum of its proper divisors (390158199400).

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

230221103000 is a wasteful number, since it uses less digits than its factorization.

230221103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251218 (or 251204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230221103000 its reverse (301122032), we get a palindrome (230522225032).

The spelling of 230221103000 in words is "two hundred thirty billion, two hundred twenty-one million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 131 140 175 200 250 262 280 350 500 524 655 700 875 917 1000 1048 1310 1400 1750 1834 2620 3275 3500 3668 4585 5240 6550 7000 7336 9170 13100 16375 18340 22925 26200 32750 36680 45850 65500 91700 114625 131000 183400 229250 251059 458500 502118 917000 1004236 1255295 1757413 2008472 2510590 3514826 5021180 6276475 7029652 8787065 10042360 12552950 14059304 17574130 25105900 31382375 32888729 35148260 43935325 50211800 62764750 65777458 70296520 87870650 125529500 131554916 164443645 175741300 219676625 230221103 251059000 263109832 328887290 351482600 439353250 460442206 657774580 822218225 878706500 920884412 1151105515 1315549160 1644436450 1757413000 1841768824 2302211030 3288872900 4111091125 4604422060 5755527575 6577745800 8222182250 9208844120 11511055150 16444364500 23022110300 28777637875 32888729000 46044220600 57555275750 115110551500 230221103000