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230003100 = 223252376907
BaseRepresentation
bin11011011010110…
…01000110011100
3121000210100221100
431231121012130
5432340044400
634453433100
75461664655
oct1555310634
9530710840
10230003100
11108915808
126503b790
1338860812
142279252c
15152d4100
hexdb5919c

230003100 has 108 divisors (see below), whose sum is σ = 740523784. Its totient is φ = 59667840.

The previous prime is 230003099. The next prime is 230003129. The reversal of 230003100 is 1300032.

It is a happy number.

It is a super-2 number, since 2×2300031002 = 105802852019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29847 + ... + 36753.

Almost surely, 2230003100 is an apocalyptic number.

230003100 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 230003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370261892).

230003100 is an abundant number, since it is smaller than the sum of its proper divisors (510520684).

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

230003100 is a wasteful number, since it uses less digits than its factorization.

230003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230003100 is about 15165.8530917321. The cubic root of 230003100 is about 612.6953201872.

Adding to 230003100 its reverse (1300032), we get a palindrome (231303132).

The spelling of 230003100 in words is "two hundred thirty million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 6907 8325 11100 13814 16650 20721 27628 33300 34535 41442 62163 69070 82884 103605 124326 138140 172675 207210 248652 255559 310815 345350 414420 511118 518025 621630 690700 766677 1022236 1036050 1243260 1277795 1533354 1554075 2072100 2300031 2555590 3066708 3108150 3833385 4600062 5111180 6216300 6388975 7666770 9200124 11500155 12777950 15333540 19166925 23000310 25555900 38333850 46000620 57500775 76667700 115001550 230003100