Search a number
-
+
23302332300 = 223521329206033
BaseRepresentation
bin10101101100111011…
…010101111110001100
32020010222110010112110
4111230323111332030
5340210344113200
614412133504020
71453311361602
oct255473257614
966128403473
1023302332300
119978617175
124623aa2010
1322748c5710
1411b0b0b872
15915b2eb50
hex56ced5f8c

23302332300 has 144 divisors (see below), whose sum is σ = 75111755040. Its totient is φ = 5538140160.

The previous prime is 23302332283. The next prime is 23302332301. The reversal of 23302332300 is 323320332.

It is not an unprimeable number, because it can be changed into a prime (23302332301) 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, 10084 + ... + 216116.

It is an arithmetic number, because the mean of its divisors is an integer number (521609410).

Almost surely, 223302332300 is an apocalyptic number.

23302332300 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 23302332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37555877520).

23302332300 is an abundant number, since it is smaller than the sum of its proper divisors (51809422740).

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

23302332300 is a wasteful number, since it uses less digits than its factorization.

23302332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206092 (or 206085 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 23302332300 its reverse (323320332), we get a palindrome (23625652632).

The spelling of 23302332300 in words is "twenty-three billion, three hundred two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 206033 412066 618099 824132 1030165 1236198 2060330 2472396 2678429 3090495 4120660 5150825 5356858 5974957 6180990 8035287 10301650 10713716 11949914 12361980 13392145 15452475 16070574 17924871 20603300 23899828 26784290 29874785 30904950 32141148 35849742 40176435 53568580 59749570 61809900 66960725 71699484 77674441 80352870 89624355 119499140 133921450 149373925 155348882 160705740 179248710 200882175 233023323 267842900 298747850 310697764 358497420 388372205 401764350 448121775 466046646 597495700 776744410 803528700 896243550 932093292 1165116615 1553488820 1792487100 1941861025 2330233230 3883722050 4660466460 5825583075 7767444100 11651166150 23302332300