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211215980 = 22537793613
BaseRepresentation
bin11001001011011…
…10011001101100
3112201102212212002
430211232121230
5413032402410
632543031432
75143210013
oct1445563154
9481385762
10211215980
11a9253768
125a89b578
13349b3491
14200a1a7a
15138227a5
hexc96e66c

211215980 has 48 divisors (see below), whose sum is σ = 461435520. Its totient is φ = 81139968.

The previous prime is 211215941. The next prime is 211216001. The reversal of 211215980 is 89512112.

It is a super-2 number, since 2×2112159802 = 89224380414720800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56654 + ... + 60266.

It is an arithmetic number, because the mean of its divisors is an integer number (9613240).

Almost surely, 2211215980 is an apocalyptic number.

211215980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211215980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230717760).

211215980 is an abundant number, since it is smaller than the sum of its proper divisors (250219540).

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

211215980 is a wasteful number, since it uses less digits than its factorization.

211215980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 211215980 is about 14533.2714830488. The cubic root of 211215980 is about 595.5372404446.

The spelling of 211215980 in words is "two hundred eleven million, two hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2923 3613 5846 7226 11692 14452 14615 18065 29230 36130 58460 72260 133681 267362 285427 534724 570854 668405 1141708 1336810 1427135 2673620 2854270 5708540 10560799 21121598 42243196 52803995 105607990 211215980