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2300231100 = 2235219738921
BaseRepresentation
bin1000100100011010…
…1011110110111100
312221022021211212110
42021012223312330
514202324343400
61020125534020
7111000433056
oct21106536674
95838254773
102300231100
11a80469742
12542414310
132a87263bb
1417b6cc8d6
15d6e19e50
hex891abdbc

2300231100 has 72 divisors (see below), whose sum is σ = 6689290608. Its totient is φ = 610265600.

The previous prime is 2300231099. The next prime is 2300231107. The reversal of 2300231100 is 11320032.

It is a happy number.

It is a super-2 number, since 2×23002311002 = 10582126226814420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300231107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39640 + ... + 78560.

It is an arithmetic number, because the mean of its divisors is an integer number (92906814).

Almost surely, 22300231100 is an apocalyptic number.

2300231100 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 2300231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344645304).

2300231100 is an abundant number, since it is smaller than the sum of its proper divisors (4389059508).

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

2300231100 is a wasteful number, since it uses less digits than its factorization.

2300231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39135 (or 39128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300231100 is about 47960.7245566620. The cubic root of 2300231100 is about 1320.0503309551.

Adding to 2300231100 its reverse (11320032), we get a palindrome (2311551132).

The spelling of 2300231100 in words is "two billion, three hundred million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 38921 59100 77842 116763 155684 194605 233526 389210 467052 583815 778420 973025 1167630 1946050 2335260 2919075 3892100 5838150 7667437 11676300 15334874 23002311 30669748 38337185 46004622 76674370 92009244 115011555 153348740 191685925 230023110 383371850 460046220 575057775 766743700 1150115550 2300231100