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212088888 = 233311233881
BaseRepresentation
bin11001010010000…
…11100000111000
3112210002020021000
430221003200320
5413243321023
633013445000
75153503644
oct1451034070
9483066230
10212088888
11a979a580
125b040760
1334c2a8ab
142024bc24
1513946243
hexca43838

212088888 has 128 divisors (see below), whose sum is σ = 670809600. Its totient is φ = 61459200.

The previous prime is 212088853. The next prime is 212088907. The reversal of 212088888 is 888880212.

It is a happy number.

212088888 is a modest number, since divided by 88888 gives 2120 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 52708 + ... + 56588.

It is an arithmetic number, because the mean of its divisors is an integer number (5240700).

Almost surely, 2212088888 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 212088888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335404800).

212088888 is an abundant number, since it is smaller than the sum of its proper divisors (458720712).

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

212088888 is a wasteful number, since it uses less digits than its factorization.

212088888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 212088888 is about 14563.2718851225. The cubic root of 212088888 is about 596.3565198719.

The spelling of 212088888 in words is "two hundred twelve million, eighty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 3881 4554 4968 6072 6831 7762 9108 11643 13662 15524 18216 23286 27324 31048 34929 42691 46572 54648 69858 85382 89263 93144 104787 128073 139716 170764 178526 209574 256146 267789 279432 341528 357052 384219 419148 512292 535578 714104 768438 803367 838296 981893 1024584 1071156 1152657 1536876 1606734 1963786 2142312 2305314 2410101 2945679 3073752 3213468 3927572 4610628 4820202 5891358 6426936 7855144 8837037 9221256 9640404 11782716 17674074 19280808 23565432 26511111 35348148 53022222 70696296 106044444 212088888