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2162162660 = 225727156989
BaseRepresentation
bin1000000011011111…
…1111101111100100
312120200111020120112
42000313333233210
513412003201120
6554314352152
7104403036140
oct20067775744
95520436515
102162162660
11a0a536899
1250412b658
13285c442b8
1416722c220
15c9c45bc5
hex80dffbe4

2162162660 has 48 divisors (see below), whose sum is σ = 5208430080. Its totient is φ = 738564480.

The previous prime is 2162162647. The next prime is 2162162687. The reversal of 2162162660 is 662612612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9446 + ... + 66434.

It is an arithmetic number, because the mean of its divisors is an integer number (108508960).

Almost surely, 22162162660 is an apocalyptic number.

2162162660 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 2162162660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604215040).

2162162660 is an abundant number, since it is smaller than the sum of its proper divisors (3046267420).

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

2162162660 is a wasteful number, since it uses less digits than its factorization.

2162162660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57276 (or 57274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2162162660 is about 46499.0608507312. The cubic root of 2162162660 is about 1293.0920876835.

The spelling of 2162162660 in words is "two billion, one hundred sixty-two million, one hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 542 1084 1355 1897 2710 3794 5420 7588 9485 18970 37940 56989 113978 227956 284945 398923 569890 797846 1139780 1595692 1994615 3989230 7978460 15444019 30888038 61776076 77220095 108108133 154440190 216216266 308880380 432432532 540540665 1081081330 2162162660