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2166131420 = 225293369647
BaseRepresentation
bin1000000100011100…
…1000101011011100
312120221221212200122
42001013020223130
513414012201140
6554535414112
7104451545645
oct20107105334
95527855618
102166131420
11a117a7662
12505524338
13286a0388b
141679826cc
15ca27bab5
hex811c8adc

2166131420 has 24 divisors (see below), whose sum is σ = 4564413504. Its totient is φ = 863493056.

The previous prime is 2166131419. The next prime is 2166131453. The reversal of 2166131420 is 241316612.

It is a super-2 number, since 2×21661314202 = 9384250657422432800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2166131420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178964 + ... + 190683.

It is an arithmetic number, because the mean of its divisors is an integer number (190183896).

Almost surely, 22166131420 is an apocalyptic number.

2166131420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166131420 is an abundant number, since it is smaller than the sum of its proper divisors (2398282084).

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

2166131420 is a wasteful number, since it uses less digits than its factorization.

2166131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369949 (or 369947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2166131420 is about 46541.7169859471. The cubic root of 2166131420 is about 1293.8827829517.

The spelling of 2166131420 in words is "two billion, one hundred sixty-six million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 369647 739294 1478588 1848235 3696470 7392940 108306571 216613142 433226284 541532855 1083065710 2166131420