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212051880 = 233251734649
BaseRepresentation
bin11001010001110…
…10011110101000
3112210000100111100
430220322132220
5413241130010
633013001400
75153261025
oct1450723650
9483010440
10212051880
11a9774797
125b023260
1334c16ab1
142023c54c
151393a2c0
hexca3a7a8

212051880 has 96 divisors (see below), whose sum is σ = 729729000. Its totient is φ = 53219328.

The previous prime is 212051869. The next prime is 212051891. The reversal of 212051880 is 88150212.

212051880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212051869) and next prime (212051891).

It can be written as a sum of positive squares in 4 ways, for example, as 165019716 + 47032164 = 12846^2 + 6858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11205 + ... + 23444.

Almost surely, 2212051880 is an apocalyptic number.

212051880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212051880 is an abundant number, since it is smaller than the sum of its proper divisors (517677120).

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

212051880 is a wasteful number, since it uses less digits than its factorization.

212051880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34683 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 212051880 is about 14562.0012360939. The cubic root of 212051880 is about 596.3218311994.

The spelling of 212051880 in words is "two hundred twelve million, fifty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 34649 69298 103947 138596 173245 207894 277192 311841 346490 415788 519735 589033 623682 692980 831576 1039470 1178066 1247364 1385960 1559205 1767099 2078940 2356132 2494728 2945165 3118410 3534198 4157880 4712264 5301297 5890330 6236820 7068396 8835495 10602594 11780660 12473640 14136792 17670990 21205188 23561320 26506485 35341980 42410376 53012970 70683960 106025940 212051880