Search a number
-
+
23402980800 = 2632521625207
BaseRepresentation
bin10101110010111011…
…010010010111000000
32020101222211121022200
4111302323102113000
5340412130341200
614430131033200
71455643024503
oct256273222700
966358747280
1023402980800
119a1a410951
12465173b800
13228c705444
1411c022b13a
1591e8b1800
hex572ed25c0

23402980800 has 126 divisors (see below), whose sum is σ = 83179770648. Its totient is φ = 6240791040.

The previous prime is 23402980729. The next prime is 23402980801. The reversal of 23402980800 is 808920432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402980801) 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 17 ways as a sum of consecutive naturals, for example, 798204 + ... + 827003.

Almost surely, 223402980800 is an apocalyptic number.

23402980800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23402980800 is an abundant number, since it is smaller than the sum of its proper divisors (59776789848).

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

23402980800 is a wasteful number, since it uses less digits than its factorization.

23402980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625235 (or 1625217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23402980800 in words is "twenty-three billion, four hundred two million, nine hundred eighty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 1625207 3250414 4875621 6500828 8126035 9751242 13001656 14626863 16252070 19502484 24378105 26003312 29253726 32504140 39004968 40630175 48756210 52006624 58507452 65008280 73134315 78009936 81260350 97512420 104013248 117014904 121890525 130016560 146268630 156019872 162520700 195024840 234029808 243781050 260033120 292537260 312039744 325041400 365671575 390049680 468059616 487562100 520066240 585074520 650082800 731343150 780099360 936119232 975124200 1170149040 1300165600 1462686300 1560198720 1950248400 2340298080 2600331200 2925372600 3900496800 4680596160 5850745200 7800993600 11701490400 23402980800