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8220434340228 = 2231165395369093
BaseRepresentation
bin111011110011111100000…
…0100011001100110000100
31002002212101012111010101120
41313213320010121212010
52034140422142341403
625252225420553540
71505623011665205
oct167477004314604
932085335433346
108220434340228
11268a2a2973720
12b092129b28b0
13478250593bc6
14205c2a5c95ac
15e3c7434de53
hex779f8119984

8220434340228 has 48 divisors (see below), whose sum is σ = 20956786191936. Its totient is φ = 2487225919360.

The previous prime is 8220434340211. The next prime is 8220434340253.

8220434340228 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8220434340228.

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, 47598351 + ... + 47770742.

It is an arithmetic number, because the mean of its divisors is an integer number (436599712332).

Almost surely, 28220434340228 is an apocalyptic number.

It is an amenable number.

8220434340228 is an abundant number, since it is smaller than the sum of its proper divisors (12736351851708).

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

8220434340228 is a wasteful number, since it uses less digits than its factorization.

8220434340228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95369764 (or 95369762 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 8220434340228 in words is "eight trillion, two hundred twenty billion, four hundred thirty-four million, three hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 653 1306 1959 2612 3918 7183 7836 14366 21549 28732 43098 86196 95369093 190738186 286107279 381476372 572214558 1049060023 1144429116 2098120046 3147180069 4196240092 6294360138 12588720276 62276017729 124552035458 186828053187 249104070916 373656106374 685036195019 747312212748 1370072390038 2055108585057 2740144780076 4110217170114 8220434340228