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224111300340 = 223523426138113
BaseRepresentation
bin1101000010111000010…
…0110000111011110100
3210102110200221122120010
43100232010300323310
512132434443102330
6250542202540220
722122454423164
oct3205604607364
9712420848503
10224111300340
1187054a93aa4
1237526507670
13181976b76b5
14abc04105a4
155c6a0ed3b0
hex342e130ef4

224111300340 has 96 divisors (see below), whose sum is σ = 654965611776. Its totient is φ = 57149706240.

The previous prime is 224111300299. The next prime is 224111300341. The reversal of 224111300340 is 43003111422.

224111300340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224111300341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5861124 + ... + 5899236.

It is an arithmetic number, because the mean of its divisors is an integer number (6822558456).

Almost surely, 2224111300340 is an apocalyptic number.

224111300340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224111300340 is an abundant number, since it is smaller than the sum of its proper divisors (430854311436).

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

224111300340 is a wasteful number, since it uses less digits than its factorization.

224111300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42409 (or 42407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 224111300340 its reverse (43003111422), we get a palindrome (267114411762).

It can be divided in two parts, 22411 and 1300340, that added together give a triangular number (1322751 = T1626).

The spelling of 224111300340 in words is "two hundred twenty-four billion, one hundred eleven million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 4261 8522 12783 17044 21305 25566 38113 42610 51132 63915 76226 85220 98003 114339 127830 152452 190565 196006 228678 255660 294009 381130 392012 457356 490015 571695 588018 762260 876599 980030 1143390 1176036 1470045 1753198 1960060 2286780 2629797 2940090 3506396 4382995 5259594 5880180 8765990 10519188 13148985 17531980 26297970 52595940 162399493 324798986 487198479 649597972 811997465 974396958 1623994930 1948793916 2435992395 3247989860 3735188339 4871984790 7470376678 9743969580 11205565017 14940753356 18675941695 22411130034 37351883390 44822260068 56027825085 74703766780 112055650170 224111300340