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230302100 = 225273110613
BaseRepresentation
bin11011011101000…
…10000110010100
3121001100120002102
431232202012110
5432424131400
634504101232
75464351460
oct1556420624
9531316072
10230302100
11108aaa416
1265164818
1338936942
142282d4a0
15153429d5
hexdba2194

230302100 has 72 divisors (see below), whose sum is σ = 589628928. Its totient is φ = 76406400.

The previous prime is 230302063. The next prime is 230302117. The reversal of 230302100 is 1203032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16394 + ... + 27006.

Almost surely, 2230302100 is an apocalyptic number.

230302100 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 230302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294814464).

230302100 is an abundant number, since it is smaller than the sum of its proper divisors (359326828).

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

230302100 is a wasteful number, since it uses less digits than its factorization.

230302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 230302100 is about 15175.7075617580. The cubic root of 230302100 is about 612.9607029497.

Adding to 230302100 its reverse (1203032), we get a palindrome (231505132).

The spelling of 230302100 in words is "two hundred thirty million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10613 10850 21226 21700 42452 53065 74291 106130 148582 212260 265325 297164 329003 371455 530650 658006 742910 1061300 1316012 1485820 1645015 1857275 2303021 3290030 3714550 4606042 6580060 7429100 8225075 9212084 11515105 16450150 23030210 32900300 46060420 57575525 115151050 230302100