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23201332200 = 2334521432181
BaseRepresentation
bin10101100110111010…
…000011101111101000
32012212221101210110000
4111212322003233220
5340004020112300
614354125023000
71450644032634
oct254672035750
965787353400
1023201332200
119926602312
1245b60b4a60
1322599c1947
1411a1539dc4
1590bd2dc00
hex566e83be8

23201332200 has 120 divisors (see below), whose sum is σ = 80581720230. Its totient is φ = 6187017600.

The previous prime is 23201332157. The next prime is 23201332207. The reversal of 23201332200 is 223310232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13567124484 + 9634207716 = 116478^2 + 98154^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (23201332207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 699891 + ... + 732290.

Almost surely, 223201332200 is an apocalyptic number.

23201332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23201332200 is an abundant number, since it is smaller than the sum of its proper divisors (57380388030).

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

23201332200 is a wasteful number, since it uses less digits than its factorization.

23201332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432209 (or 1432191 counting only the distinct ones).

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

Adding to 23201332200 its reverse (223310232), we get a palindrome (23424642432).

The spelling of 23201332200 in words is "twenty-three billion, two hundred one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 1432181 2864362 4296543 5728724 7160905 8593086 11457448 12889629 14321810 17186172 21482715 25779258 28643620 34372344 35804525 38668887 42965430 51558516 57287240 64448145 71609050 77337774 85930860 103117032 107413575 116006661 128896290 143218100 154675548 171861720 193344435 214827150 232013322 257792580 286436200 309351096 322240725 386688870 429654300 464026644 515585160 580033305 644481450 773377740 859308600 928053288 966722175 1160066610 1288962900 1546755480 1933444350 2320133220 2577925800 2900166525 3866888700 4640266440 5800333050 7733777400 11600666100 23201332200