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224251712130040 = 23571747111704229
BaseRepresentation
bin110010111111010010101011…
…101001000100101111111000
31002102000020212101120100011021
4302333102223221010233320
5213343120001301130130
62112535451522112224
765143436323215220
oct6277225351045770
91072006771510137
10224251712130040
11654a96872a3901
12211995987ab674
139818acc062a0a
143d53bab155080
151add47d19737a
hexcbf4aba44bf8

224251712130040 has 64 divisors (see below), whose sum is σ = 610567686820800. Its totient is φ = 72363577694208.

The previous prime is 224251712129993. The next prime is 224251712130049. The reversal of 224251712130040 is 40031217152422.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 224251712129978 and 224251712130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224251712130049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23555847355 + ... + 23555856874.

It is an arithmetic number, because the mean of its divisors is an integer number (9540120106575).

Almost surely, 2224251712130040 is an apocalyptic number.

224251712130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224251712130040 is an abundant number, since it is smaller than the sum of its proper divisors (386315974690760).

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

224251712130040 is a wasteful number, since it uses less digits than its factorization.

224251712130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47111704264 (or 47111704260 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 224251712130040 its reverse (40031217152422), we get a palindrome (264282929282462).

The spelling of 224251712130040 in words is "two hundred twenty-four trillion, two hundred fifty-one billion, seven hundred twelve million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 47111704229 94223408458 188446816916 235558521145 329781929603 376893633832 471117042290 659563859206 800898971893 942234084580 1319127718412 1601797943786 1648909648015 1884468169160 2638255436824 3203595887572 3297819296030 4004494859465 5606292803251 6407191775144 6595638592060 8008989718930 11212585606502 13191277184120 16017979437860 22425171213004 28031464016255 32035958875720 44850342426008 56062928032510 112125856065020 224251712130040