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2166254420 = 2251117955009
BaseRepresentation
bin1000000100011110…
…0110101101010100
312120222012010102012
42001013212231110
513414030120140
6554542203352
7104452600361
oct20107465524
95528163365
102166254420
11a11881010
12505583558
13286a47865
141679b5468
15ca2a3265
hex811e6b54

2166254420 has 48 divisors (see below), whose sum is σ = 4990507200. Its totient is φ = 783313920.

The previous prime is 2166254413. The next prime is 2166254423. The reversal of 2166254420 is 244526612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166254423) 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, 11876 + ... + 66884.

It is an arithmetic number, because the mean of its divisors is an integer number (103968900).

Almost surely, 22166254420 is an apocalyptic number.

2166254420 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 2166254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495253600).

2166254420 is an abundant number, since it is smaller than the sum of its proper divisors (2824252780).

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

2166254420 is a wasteful number, since it uses less digits than its factorization.

2166254420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55208 (or 55206 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2166254420 is about 46543.0383623588. The cubic root of 2166254420 is about 1293.9072727816.

The spelling of 2166254420 in words is "two billion, one hundred sixty-six million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 19690 39380 55009 110018 220036 275045 550090 605099 1100180 1210198 2420396 3025495 6050990 9846611 12101980 19693222 39386444 49233055 98466110 108312721 196932220 216625442 433250884 541563605 1083127210 2166254420