Search a number
-
+
222222131300200 = 235229107358076267
BaseRepresentation
bin110010100001110000011111…
…001100101000011101101000
31002010211020011102011122011211
4302201300133030220131220
5213111341411103101300
62104343234321202504
764544006400624553
oct6241603714503550
91063736142148154
10222222131300200
1164896970888809
1220b1017a190434
1396cc5c322a645
143cc3873bb169a
151aa579328e4ba
hexca1c1f328768

222222131300200 has 96 divisors (see below), whose sum is σ = 539477705368800. Its totient is φ = 85021628599040.

The previous prime is 222222131300173. The next prime is 222222131300209. The reversal of 222222131300200 is 2003131222222.

It is not an unprimeable number, because it can be changed into a prime (222222131300209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178417534 + ... + 179658733.

It is an arithmetic number, because the mean of its divisors is an integer number (5619559430925).

Almost surely, 2222222131300200 is an apocalyptic number.

222222131300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222222131300200 is an abundant number, since it is smaller than the sum of its proper divisors (317255574068600).

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

222222131300200 is a wasteful number, since it uses less digits than its factorization.

222222131300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358076419 (or 358076410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222222131300200 its reverse (2003131222222), we get a palindrome (224225262522422).

The spelling of 222222131300200 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, one hundred thirty-one million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 107 116 145 200 214 232 290 428 535 580 725 856 1070 1160 1450 2140 2675 2900 3103 4280 5350 5800 6206 10700 12412 15515 21400 24824 31030 62060 77575 124120 155150 310300 620600 358076267 716152534 1432305068 1790381335 2864610136 3580762670 7161525340 8951906675 10384211743 14323050680 17903813350 20768423486 35807626700 38314160569 41536846972 51921058715 71615253400 76628321138 83073693944 103842117430 153256642276 191570802845 207684234860 259605293575 306513284552 383141605690 415368469720 519210587150 766283211380 957854014225 1038421174300 1111110656501 1532566422760 1915708028450 2076842348600 2222221313002 3831416056900 4444442626004 5555553282505 7662832113800 8888885252008 11111106565010 22222213130020 27777766412525 44444426260040 55555532825050 111111065650100 222222131300200