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200233141220 = 225719174143237
BaseRepresentation
bin1011101001111011010…
…0110100001111100100
3201010211120222111010102
42322132310310033210
511240034141004340
6231552535043232
720315651422010
oct2723664641744
9633746874112
10200233141220
1177a1142a6a2
1232981810518
1315b6070b168
14999704d540
15531db78215
hex2e9ed343e4

200233141220 has 96 divisors (see below), whose sum is σ = 506154405120. Its totient is φ = 64999272960.

The previous prime is 200233141187. The next prime is 200233141267. The reversal of 200233141220 is 22141332002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200233141192 and 200233141201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4609442 + ... + 4652678.

It is an arithmetic number, because the mean of its divisors is an integer number (5272441720).

Almost surely, 2200233141220 is an apocalyptic number.

200233141220 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 200233141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253077202560).

200233141220 is an abundant number, since it is smaller than the sum of its proper divisors (305921263900).

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

200233141220 is a wasteful number, since it uses less digits than its factorization.

200233141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45013 (or 45011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 200233141220 its reverse (22141332002), we get a palindrome (222374473222).

The spelling of 200233141220 in words is "two hundred billion, two hundred thirty-three million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1741 2660 3482 6964 8705 12187 17410 24374 33079 34820 43237 48748 60935 66158 86474 121870 132316 165395 172948 216185 231553 243740 302659 330790 432370 463106 605318 661580 821503 864740 926212 1157765 1210636 1513295 1643006 2315530 3026590 3286012 4107515 4631060 5750521 6053180 8215030 11501042 16430060 23002084 28752605 57505210 75275617 115010420 150551234 301102468 376378085 526929319 752756170 1053858638 1430236723 1505512340 2107717276 2634646595 2860473446 5269293190 5720946892 7151183615 10011657061 10538586380 14302367230 20023314122 28604734460 40046628244 50058285305 100116570610 200233141220