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2166228992 = 2116715787
BaseRepresentation
bin1000000100011110…
…0000100000000000
312120222010211112102
42001013200200000
513414023311432
6554541445532
7104452433264
oct20107404000
95528124472
102166228992
11a118639a4
125055708a8
13286a39105
141679aa0a4
15ca29a962
hex811e0800

2166228992 has 48 divisors (see below), whose sum is σ = 4396326480. Its totient is φ = 1066881024.

The previous prime is 2166228887. The next prime is 2166229003. The reversal of 2166228992 is 2998226612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129323 + ... + 145109.

It is an arithmetic number, because the mean of its divisors is an integer number (91590135).

Almost surely, 22166228992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198163240).

2166228992 is an abundant number, since it is smaller than the sum of its proper divisors (2230097488).

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

2166228992 is an equidigital number, since it uses as much as digits as its factorization.

2166228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15876 (or 15856 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 2166228992 is about 46542.7651950333. The cubic root of 2166228992 is about 1293.9022100333.

The spelling of 2166228992 in words is "two billion, one hundred sixty-six million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2048 2144 4288 8576 15787 17152 31574 34304 63148 68608 126296 137216 252592 505184 1010368 1057729 2020736 2115458 4041472 4230916 8082944 8461832 16165888 16923664 32331776 33847328 67694656 135389312 270778624 541557248 1083114496 2166228992