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212281140 = 22354775277
BaseRepresentation
bin11001010011100…
…10011100110100
3112210102222222110
430221302130310
5413320444030
633021531020
75155234311
oct1451623464
9483388873
10212281140
11a9910a65
125b113a70
1334c97256
142029bd08
15139831b0
hexca72734

212281140 has 48 divisors (see below), whose sum is σ = 607041792. Its totient is φ = 55403136.

The previous prime is 212281133. The next prime is 212281141. The reversal of 212281140 is 41182212.

212281140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212281141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34819 + ... + 40458.

It is an arithmetic number, because the mean of its divisors is an integer number (12646704).

Almost surely, 2212281140 is an apocalyptic number.

212281140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212281140 is an abundant number, since it is smaller than the sum of its proper divisors (394760652).

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

212281140 is a wasteful number, since it uses less digits than its factorization.

212281140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75336 (or 75334 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 212281140 is about 14569.8709671706. The cubic root of 212281140 is about 596.5366583502.

The spelling of 212281140 in words is "two hundred twelve million, two hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 75277 150554 225831 301108 376385 451662 752770 903324 1129155 1505540 2258310 3538019 4516620 7076038 10614057 14152076 17690095 21228114 35380190 42456228 53070285 70760380 106140570 212281140