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2146977216 = 263233111261
BaseRepresentation
bin111111111111000…
…0100010111000000
312112121220202001200
41333332010113000
513344111232331
6553013101200
7104130001536
oct17776042700
95477822050
102146977216
11a01a0483a
124bb027800
13282a58427
141651d8156
15c87465e6
hex7ff845c0

2146977216 has 84 divisors (see below), whose sum is σ = 6173062584. Its totient is φ = 713433600.

The previous prime is 2146977211. The next prime is 2146977253. The reversal of 2146977216 is 6127796412.

It is a super-2 number, since 2×21469772162 = 9219022332046221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146977211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185026 + ... + 196286.

Almost surely, 22146977216 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 2146977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086531292).

2146977216 is an abundant number, since it is smaller than the sum of its proper divisors (4026085368).

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

2146977216 is a wasteful number, since it uses less digits than its factorization.

2146977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11597 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2146977216 is about 46335.4854943811. The cubic root of 2146977216 is about 1290.0577295239.

The spelling of 2146977216 in words is "two billion, one hundred forty-six million, nine hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 331 576 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11261 11916 15888 21184 22522 23832 31776 33783 45044 47664 63552 67566 90088 95328 101349 135132 180176 190656 202698 270264 360352 405396 540528 720704 810792 1081056 1621584 2162112 3243168 3727391 6486336 7454782 11182173 14909564 22364346 29819128 33546519 44728692 59638256 67093038 89457384 119276512 134186076 178914768 238553024 268372152 357829536 536744304 715659072 1073488608 2146977216