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2210331032320 = 28513271301297
BaseRepresentation
bin100000001010100001111…
…111101111101100000000
321211022020202210100120011
4200022201333233230000
5242203224221013240
64411225000554304
7315456030531565
oct40124177575400
97738222710504
102210331032320
1178243a276524
122b8463482994
13130583015608
1478da2a6486c
153c7683ed6ea
hex202a1fefb00

2210331032320 has 72 divisors (see below), whose sum is σ = 5298427399104. Its totient is φ = 883465469952.

The previous prime is 2210331032297. The next prime is 2210331032417. The reversal of 2210331032320 is 232301330122.

It is a junction number, because it is equal to n+sod(n) for n = 2210331032291 and 2210331032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047912 + ... + 2349208.

It is an arithmetic number, because the mean of its divisors is an integer number (73589269432).

Almost surely, 22210331032320 is an apocalyptic number.

2210331032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210331032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649213699552).

2210331032320 is an abundant number, since it is smaller than the sum of its proper divisors (3088096366784).

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

2210331032320 is a wasteful number, since it uses less digits than its factorization.

2210331032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302645 (or 1302631 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2210331032320 its reverse (232301330122), we get a palindrome (2442632362442).

The spelling of 2210331032320 in words is "two trillion, two hundred ten billion, three hundred thirty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1327 2654 5308 6635 10616 13270 21232 26540 42464 53080 84928 106160 169856 212320 339712 424640 849280 1301297 1698560 2602594 5205188 6506485 10410376 13012970 20820752 26025940 41641504 52051880 83283008 104103760 166566016 208207520 333132032 416415040 832830080 1665660160 1726821119 3453642238 6907284476 8634105595 13814568952 17268211190 27629137904 34536422380 55258275808 69072844760 110516551616 138145689520 221033103232 276291379040 442066206464 552582758080 1105165516160 2210331032320