Search a number
-
+
224134214410110 = 235421117011104297
BaseRepresentation
bin110010111101100101010000…
…001110110101111101111110
31002101121000120202212201121110
4302331211100032311331332
5213334203332342110420
62112405500414142450
765132106530116044
oct6275452016657576
91071530522781543
10224134214410110
116546387195a844
122117a866ab1a26
13980a9c53c5854
143d4c222294394
151ada3a2c1cee0
hexcbd9503b5f7e

224134214410110 has 64 divisors (see below), whose sum is σ = 538086645368064. Its totient is φ = 59750844652800.

The previous prime is 224134214410039. The next prime is 224134214410111. The reversal of 224134214410110 is 11014412431422.

It is a super-2 number, since 2×2241342144101102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224134214410111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148947482 + ... + 2149051778.

It is an arithmetic number, because the mean of its divisors is an integer number (8407603833876).

Almost surely, 2224134214410110 is an apocalyptic number.

224134214410110 is an abundant number, since it is smaller than the sum of its proper divisors (313952430957954).

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

224134214410110 is a wasteful number, since it uses less digits than its factorization.

224134214410110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125529.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 224134214410110 its reverse (11014412431422), we get a palindrome (235148626841532).

The spelling of 224134214410110 in words is "two hundred twenty-four trillion, one hundred thirty-four billion, two hundred fourteen million, four hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 4211 8422 12633 17011 21055 25266 34022 42110 51033 63165 85055 102066 104297 126330 170110 208594 255165 312891 510330 521485 625782 1042970 1564455 3128910 71633321 143266642 214899963 358166605 429799926 439194667 716333210 878389334 1074499815 1317584001 1774196267 2148999630 2195973335 2635168002 3548392534 4391946670 5322588801 6587920005 8870981335 10645177602 13175840010 17741962670 26612944005 53225888010 7471140480337 14942280960674 22413421441011 37355702401685 44826842882022 74711404803370 112067107205055 224134214410110