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224002244400216 = 23379521226765151
BaseRepresentation
bin110010111011101010010110…
…001101001101010001011000
31002101010101221120000121110020
4302323222112031031101120
5213330023044031301331
62112225113242550440
765116425302414442
oct6273522615152130
91071111846017406
10224002244400216
1165412900268067
1221159176508420
1397cb4233472b9
143d45aa32d9492
151ad6c2be6cc96
hexcbba9634d458

224002244400216 has 64 divisors (see below), whose sum is σ = 568182764851200. Its totient is φ = 73580755872000.

The previous prime is 224002244400197. The next prime is 224002244400247. The reversal of 224002244400216 is 612004442200422.

224002244400216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112394760 + ... + 114370391.

It is an arithmetic number, because the mean of its divisors is an integer number (8877855700800).

Almost surely, 2224002244400216 is an apocalyptic number.

It is an amenable number.

224002244400216 is an abundant number, since it is smaller than the sum of its proper divisors (344180520450984).

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

224002244400216 is a wasteful number, since it uses less digits than its factorization.

224002244400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226765760 (or 226765756 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 224002244400216 its reverse (612004442200422), we get a palindrome (836006686600638).

The spelling of 224002244400216 in words is "two hundred twenty-four trillion, two billion, two hundred forty-four million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 521 632 948 1042 1563 1896 2084 3126 4168 6252 12504 41159 82318 123477 164636 246954 329272 493908 987816 226765151 453530302 680295453 907060604 1360590906 1814121208 2721181812 5442363624 17914446929 35828893858 53743340787 71657787716 107486681574 118144643671 143315575432 214973363148 236289287342 354433931013 429946726296 472578574684 708867862026 945157149368 1417735724052 2835471448104 9333426850009 18666853700018 28000280550027 37333707400036 56000561100054 74667414800072 112001122200108 224002244400216