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230024100 = 223521993853
BaseRepresentation
bin11011011010111…
…10001110100100
3121000211102202010
431231132032210
5432341232400
634454114220
75462113125
oct1555361644
9530742663
10230024100
1110892a569
126504b970
133886a247
142279a04c
15152da450
hexdb5e3a4

230024100 has 72 divisors (see below), whose sum is σ = 669054400. Its totient is φ = 61015680.

The previous prime is 230024083. The next prime is 230024101. The reversal of 230024100 is 1420032.

It is a super-2 number, since 2×2300241002 = 105822173161620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (230024101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57774 + ... + 61626.

Almost surely, 2230024100 is an apocalyptic number.

230024100 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 230024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334527200).

230024100 is an abundant number, since it is smaller than the sum of its proper divisors (439030300).

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

230024100 is a wasteful number, since it uses less digits than its factorization.

230024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230024100 is about 15166.5454207608. The cubic root of 230024100 is about 612.7139666173.

Adding to 230024100 its reverse (1420032), we get a palindrome (231444132).

The spelling of 230024100 in words is "two hundred thirty million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 796 995 1194 1990 2388 2985 3853 3980 4975 5970 7706 9950 11559 11940 14925 15412 19265 19900 23118 29850 38530 46236 57795 59700 77060 96325 115590 192650 231180 288975 385300 577950 766747 1155900 1533494 2300241 3066988 3833735 4600482 7667470 9200964 11501205 15334940 19168675 23002410 38337350 46004820 57506025 76674700 115012050 230024100