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211192380 = 22335755871
BaseRepresentation
bin11001001011010…
…00101000111100
3112201101200111000
430211220220330
5413031124010
632542330300
75143051140
oct1445505074
9481350430
10211192380
11a9237a63
125a889990
13349a5809
1420097220
151381a7c0
hexc968a3c

211192380 has 96 divisors (see below), whose sum is σ = 750919680. Its totient is φ = 48271680.

The previous prime is 211192363. The next prime is 211192409. The reversal of 211192380 is 83291112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24156 + ... + 31715.

It is an arithmetic number, because the mean of its divisors is an integer number (7822080).

Almost surely, 2211192380 is an apocalyptic number.

211192380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211192380 is an abundant number, since it is smaller than the sum of its proper divisors (539727300).

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

211192380 is a wasteful number, since it uses less digits than its factorization.

211192380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55896 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211192380 is about 14532.4595303066. The cubic root of 211192380 is about 595.5150590384.

The spelling of 211192380 in words is "two hundred eleven million, one hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55871 111742 167613 223484 279355 335226 391097 502839 558710 670452 782194 838065 1005678 1117420 1173291 1508517 1564388 1676130 1955485 2011356 2346582 2514195 3017034 3352260 3519873 3910970 4693164 5028390 5866455 6034068 7039746 7542585 7821940 10056780 10559619 11732910 14079492 15085170 17599365 21119238 23465820 30170340 35198730 42238476 52798095 70397460 105596190 211192380