Search a number
-
+
2170636468 = 2271113542117
BaseRepresentation
bin1000000101100001…
…0100100010110100
312121021102202110021
42001120110202310
513421140331333
6555220134524
7104535051130
oct20130244264
95537382407
102170636468
11a142a4340
12506b37444
132879202a0
141683d63c0
15ca86b82d
hex816148b4

2170636468 has 48 divisors (see below), whose sum is σ = 5100246144. Its totient is φ = 780647040.

The previous prime is 2170636459. The next prime is 2170636471. The reversal of 2170636468 is 8646360712.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 267055 + ... + 275062.

It is an arithmetic number, because the mean of its divisors is an integer number (106255128).

Almost surely, 22170636468 is an apocalyptic number.

2170636468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2170636468 is an abundant number, since it is smaller than the sum of its proper divisors (2929609676).

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

2170636468 is a wasteful number, since it uses less digits than its factorization.

2170636468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542152 (or 542150 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2170636468 is about 46590.0898045926. The cubic root of 2170636468 is about 1294.7791532678.

The spelling of 2170636468 in words is "two billion, one hundred seventy million, six hundred thirty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 542117 1084234 2168468 3794819 5963287 7047521 7589638 11926574 14095042 15179276 23853148 28190084 41743009 49332647 77522731 83486018 98665294 155045462 166972036 197330588 310090924 542659117 1085318234 2170636468