Search a number
-
+
222421304133140 = 22571983617031629
BaseRepresentation
bin110010100100101001111110…
…110100101100011000010100
31002011112021021002222212210012
4302210221332310230120110
5213123122312324230030
62105014534142215352
764564260156026030
oct6244517664543024
91064467232885705
10222421304133140
1164963388743072
1220b428a4884558
139715315074248
143ccd36a0951c0
151aaaa4dcc2095
hexca4a7ed2c614

222421304133140 has 48 divisors (see below), whose sum is σ = 561906452553600. Its totient is φ = 72245115326592.

The previous prime is 222421304133031. The next prime is 222421304133179. The reversal of 222421304133140 is 41331403124222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222421304133097 and 222421304133106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41808513155 + ... + 41808518474.

It is an arithmetic number, because the mean of its divisors is an integer number (11706384428200).

Almost surely, 2222421304133140 is an apocalyptic number.

222421304133140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222421304133140 is an abundant number, since it is smaller than the sum of its proper divisors (339485148420460).

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

222421304133140 is a wasteful number, since it uses less digits than its factorization.

222421304133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83617031664 (or 83617031662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 222421304133140 its reverse (41331403124222), we get a palindrome (263752707257362).

The spelling of 222421304133140 in words is "two hundred twenty-two trillion, four hundred twenty-one billion, three hundred four million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 83617031629 167234063258 334468126516 418085158145 585319221403 836170316290 1170638442806 1588723600951 1672340632580 2341276885612 2926596107015 3177447201902 5853192214030 6354894403804 7943618004755 11121065206657 11706384428060 15887236009510 22242130413314 31774472019020 44484260826628 55605326033285 111210652066570 222421304133140