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230100200 = 235211412551
BaseRepresentation
bin11011011011100…
…00110011101000
3121000222022010122
431231300303220
5432401201300
634455502412
75462551031
oct1555606350
9530868118
10230100200
11108981760
1265087a08
1338895a85
14227b9a88
1515302c85
hexdb70ce8

230100200 has 96 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 81600000.

The previous prime is 230100193. The next prime is 230100217. The reversal of 230100200 is 2001032.

It is a super-2 number, since 2×2301002002 = 105892204080080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88925 + ... + 91475.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2230100200 is an apocalyptic number.

230100200 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 230100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

230100200 is an abundant number, since it is smaller than the sum of its proper divisors (367986520).

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

230100200 is a wasteful number, since it uses less digits than its factorization.

230100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230100200 is about 15169.0540245593. The cubic root of 230100200 is about 612.7815282218.

Adding to 230100200 its reverse (2001032), we get a palindrome (232101232).

The spelling of 230100200 in words is "two hundred thirty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 2551 3608 4100 4510 5102 8200 9020 10204 11275 12755 18040 20408 22550 25510 28061 45100 51020 56122 63775 90200 102040 104591 112244 127550 140305 209182 224488 255100 280610 418364 510200 522955 561220 701525 836728 1045910 1122440 1150501 1403050 2091820 2301002 2614775 2806100 4183640 4602004 5229550 5612200 5752505 9204008 10459100 11505010 20918200 23010020 28762525 46020040 57525050 115050100 230100200