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23201345200 = 2452117696857
BaseRepresentation
bin10101100110111010…
…000110111010110000
32012212221102110021111
4111212322012322300
5340004021021300
614354125203104
71450644115555
oct254672067260
965787373244
1023201345200
119926611060
1245b6100494
1322599c7837
1411a1540a2c
1590bd329ba
hex566e86eb0

23201345200 has 120 divisors (see below), whose sum is σ = 60896571120. Its totient is φ = 8424652800.

The previous prime is 23201345161. The next prime is 23201345239. The reversal of 23201345200 is 254310232.

It is an interprime number because it is at equal distance from previous prime (23201345161) and next prime (23201345239).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380172 + ... + 3387028.

It is an arithmetic number, because the mean of its divisors is an integer number (507471426).

Almost surely, 223201345200 is an apocalyptic number.

23201345200 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 23201345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30448285560).

23201345200 is an abundant number, since it is smaller than the sum of its proper divisors (37695225920).

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

23201345200 is a wasteful number, since it uses less digits than its factorization.

23201345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 23201345200 its reverse (254310232), we get a palindrome (23455655432).

The spelling of 23201345200 in words is "twenty-three billion, two hundred one million, three hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 769 880 1100 1538 2200 3076 3845 4400 6152 6857 7690 8459 12304 13714 15380 16918 19225 27428 30760 33836 34285 38450 42295 54856 61520 67672 68570 75427 76900 84590 109712 135344 137140 150854 153800 169180 171425 211475 274280 301708 307600 338360 342850 377135 422950 548560 603416 676720 685700 754270 845900 1206832 1371400 1508540 1691800 1885675 2742800 3017080 3383600 3771350 5273033 6034160 7542700 10546066 15085400 21092132 26365165 30170800 42184264 52730330 58003363 84368528 105460660 116006726 131825825 210921320 232013452 263651650 290016815 421842640 464026904 527303300 580033630 928053808 1054606600 1160067260 1450084075 2109213200 2320134520 2900168150 4640269040 5800336300 11600672600 23201345200