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2166343936 = 2829092
BaseRepresentation
bin1000000100011111…
…1100100100000000
312120222100200012121
42001013330210000
513414041001221
6554544134024
7104453422351
oct20107744400
95528320177
102166343936
11a11932299
12505607314
13286a79523
141679d9d28
15ca2bea41
hex811fc900

2166343936 has 27 divisors (see below), whose sum is σ = 4325712601. Its totient is φ = 1082799616.

The previous prime is 2166343909. The next prime is 2166343951. The reversal of 2166343936 is 6393436612.

The square root of 2166343936 is 46544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1878702336 + 287641600 = 43344^2 + 16960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2166343892 and 2166343901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 743250 + ... + 746158.

Almost surely, 22166343936 is an apocalyptic number.

2166343936 is the 46544-th square number.

It is an amenable number.

2166343936 is a deficient number, since it is larger than the sum of its proper divisors (2159368665).

2166343936 is an frugal number, since it uses more digits than its factorization.

2166343936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 2911 counting only the distinct ones).

The product of its digits is 419904, while the sum is 43.

The cubic root of 2166343936 is about 1293.9250952200.

Multiplying 2166343936 by its product of digits (419904), we get a square (909656484102144 = 301605122).

The spelling of 2166343936 in words is "two billion, one hundred sixty-six million, three hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 2909 5818 11636 23272 46544 93088 186176 372352 744704 8462281 16924562 33849124 67698248 135396496 270792992 541585984 1083171968 2166343936