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2214413312120 = 2351087402712647
BaseRepresentation
bin100000001110010101010…
…100011010000001111000
321211200210021022122200022
4200032111110122001320
5242240104301441440
64413142030230012
7315662140405142
oct40162524320170
97750707278608
102214413312120
11784144648789
122b9202655308
13130a839b4ca9
147926ccb5c92
153c9069c7cb5
hex2039551a078

2214413312120 has 64 divisors (see below), whose sum is σ = 4988646420480. Its totient is φ = 884660743296.

The previous prime is 2214413312113. The next prime is 2214413312143. The reversal of 2214413312120 is 212133144122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214413312120.

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, 175087637 + ... + 175100283.

It is an arithmetic number, because the mean of its divisors is an integer number (77947600320).

Almost surely, 22214413312120 is an apocalyptic number.

2214413312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214413312120 is an abundant number, since it is smaller than the sum of its proper divisors (2774233108360).

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

2214413312120 is a wasteful number, since it uses less digits than its factorization.

2214413312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 2214413312120 its reverse (212133144122), we get a palindrome (2426546456242).

The spelling of 2214413312120 in words is "two trillion, two hundred fourteen billion, four hundred thirteen million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1087 2174 4027 4348 5435 8054 8696 10870 12647 16108 20135 21740 25294 32216 40270 43480 50588 63235 80540 101176 126470 161080 252940 505880 4377349 8754698 13747289 17509396 21886745 27494578 35018792 43773490 50929469 54989156 68736445 87546980 101858938 109978312 137472890 175093960 203717876 254647345 274945780 407435752 509294690 549891560 1018589380 2037178760 55360332803 110720665606 221441331212 276801664015 442882662424 553603328030 1107206656060 2214413312120