Search a number
-
+
23221320300 = 22335259145771
BaseRepresentation
bin10101101000000110…
…010011101001101100
32012221100000021222000
4111220012103221230
5340024124222200
614400121252300
71451305652163
oct255006235154
965840007860
1023221320300
119936914702
124600934090
132260b9c819
1411a40603da
1590d97b300
hex568193a6c

23221320300 has 144 divisors (see below), whose sum is σ = 75918057600. Its totient is φ = 6087355200.

The previous prime is 23221320299. The next prime is 23221320301. The reversal of 23221320300 is 302312232.

It is a happy number.

23221320300 is a `hidden beast` number, since 23 + 2 + 21 + 320 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (23221320299) and next prime (23221320301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23221320301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86415 + ... + 232185.

Almost surely, 223221320300 is an apocalyptic number.

23221320300 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 23221320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37959028800).

23221320300 is an abundant number, since it is smaller than the sum of its proper divisors (52696737300).

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

23221320300 is a wasteful number, since it uses less digits than its factorization.

23221320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145853 (or 145840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23221320300 its reverse (302312232), we get a palindrome (23523632532).

The spelling of 23221320300 in words is "twenty-three billion, two hundred twenty-one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 59 60 75 90 100 108 118 135 150 177 180 225 236 270 295 300 354 450 531 540 590 675 708 885 900 1062 1180 1350 1475 1593 1770 2124 2655 2700 2950 3186 3540 4425 5310 5900 6372 7965 8850 10620 13275 15930 17700 26550 31860 39825 53100 79650 145771 159300 291542 437313 583084 728855 874626 1311939 1457710 1749252 2186565 2623878 2915420 3644275 3935817 4373130 5247756 6559695 7288550 7871634 8600489 8746260 10932825 13119390 14577100 15743268 17200978 19679085 21865650 25801467 26238780 32798475 34401956 39358170 43002445 43731300 51602934 65596950 77404401 78716340 86004890 98395425 103205868 129007335 131193900 154808802 172009780 196790850 215012225 232213203 258014670 309617604 387022005 393581700 430024450 464426406 516029340 645036675 774044010 860048900 928852812 1161066015 1290073350 1548088020 1935110025 2322132030 2580146700 3870220050 4644264060 5805330075 7740440100 11610660150 23221320300