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2270968164 = 22352579091
BaseRepresentation
bin1000011101011100…
…0011100101100100
312212021020010200000
42013113003211210
514122331440124
61013202421300
7110163624303
oct20727034544
95767203600
102270968164
11a659a1aa3
12534661830
132a264ba5a
1417787243a
15d45896c9
hex875c3964

2270968164 has 72 divisors (see below), whose sum is σ = 5976935328. Its totient is φ = 753960960.

The previous prime is 2270968123. The next prime is 2270968187. The reversal of 2270968164 is 4618690722.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245259 + ... + 254349.

Almost surely, 22270968164 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 2270968164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988467664).

2270968164 is an abundant number, since it is smaller than the sum of its proper divisors (3705967164).

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

2270968164 is a wasteful number, since it uses less digits than its factorization.

2270968164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2270968164 is about 47654.6762028660. The cubic root of 2270968164 is about 1314.4286460427.

The spelling of 2270968164 in words is "two billion, two hundred seventy million, nine hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 257 324 486 514 771 972 1028 1542 2313 3084 4626 6939 9091 9252 13878 18182 20817 27273 27756 36364 41634 54546 62451 81819 83268 109092 124902 163638 245457 249804 327276 490914 736371 981828 1472742 2209113 2336387 2945484 4418226 4672774 7009161 8836452 9345548 14018322 21027483 28036644 42054966 63082449 84109932 126164898 189247347 252329796 378494694 567742041 756989388 1135484082 2270968164