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2291406712 = 2371073791009
BaseRepresentation
bin1000100010010100…
…0001011101111000
312220200200112002021
42020211001131320
514143100003322
61015212444224
7110532431020
oct21045013570
95820615067
102291406712
11a76491861
1253b479674
132a695697a
1417a472a80
15d62754c7
hex88941778

2291406712 has 64 divisors (see below), whose sum is σ = 4974048000. Its totient is φ = 969325056.

The previous prime is 2291406703. The next prime is 2291406713. The reversal of 2291406712 is 2176041922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291406713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2270464 + ... + 2271472.

It is an arithmetic number, because the mean of its divisors is an integer number (77719500).

Almost surely, 22291406712 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 2291406712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487024000).

2291406712 is an abundant number, since it is smaller than the sum of its proper divisors (2682641288).

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

2291406712 is a wasteful number, since it uses less digits than its factorization.

2291406712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2291406712 is about 47868.6401728731. The cubic root of 2291406712 is about 1318.3601291842.

The spelling of 2291406712 in words is "two billion, two hundred ninety-one million, four hundred six thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 107 214 379 428 749 758 856 1009 1498 1516 2018 2653 2996 3032 4036 5306 5992 7063 8072 10612 14126 21224 28252 40553 56504 81106 107963 162212 215926 283871 324424 382411 431852 567742 755741 764822 863704 1135484 1511482 1529644 2270968 2676877 3022964 3059288 5353754 6045928 10707508 21415016 40917977 81835954 163671908 286425839 327343816 572851678 1145703356 2291406712