Search a number
-
+
202231001200200 = 23352726878605483
BaseRepresentation
bin101101111110110110010010…
…111111010011011001001000
3222112001002120011222201212220
4231332312102333103121020
5203001323042301401300
61554035350035534040
760411464506525500
oct5576662277233110
9875032504881786
10202231001200200
1159489760031945
121a82188115a320
1388ac3bc774a5b
1437d2065980a00
15185a75be86da0
hexb7ed92fd3648

202231001200200 has 144 divisors (see below), whose sum is σ = 729269753413680. Its totient is φ = 46224228839040.

The previous prime is 202231001200169. The next prime is 202231001200253. The reversal of 202231001200200 is 2002100132202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202231001200200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3439273342 + ... + 3439332141.

It is an arithmetic number, because the mean of its divisors is an integer number (5064373287595).

Almost surely, 2202231001200200 is an apocalyptic number.

202231001200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202231001200200 is an abundant number, since it is smaller than the sum of its proper divisors (527038752213480).

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

202231001200200 is a wasteful number, since it uses less digits than its factorization.

202231001200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878605516 (or 6878605500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202231001200200 its reverse (2002100132202), we get a palindrome (204233101332402).

The spelling of 202231001200200 in words is "two hundred two trillion, two hundred thirty-one billion, one million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 6878605483 13757210966 20635816449 27514421932 34393027415 41271632898 48150238381 55028843864 68786054830 82543265796 96300476762 103179082245 137572109660 144450715143 165086531592 171965137075 192600953524 206358164490 240751191905 275144219320 288901430286 337051668667 343930274150 385201907048 412716328980 481502383810 515895411225 577802860572 674103337334 687860548300 722253575715 825432657960 963004767620 1011155006001 1031790822450 1155605721144 1203755959525 1348206674668 1375721096600 1444507151430 1685258343335 1926009535240 2022310012002 2063581644900 2407511919050 2696413349336 2889014302860 3370516686670 3611267878575 4044620024004 4127163289800 4815023838100 5055775030005 5778028605720 6741033373340 7222535757150 8089240048008 8426291716675 9630047676200 10111550060010 13482066746680 14445071514300 16852583433350 20223100120020 25278875150025 28890143028600 33705166866700 40446200240040 50557750300050 67410333733400 101115500600100 202231001200200