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211282148 = 22711739397
BaseRepresentation
bin11001001011111…
…10100011100100
3112201120020121202
430211332203210
5413042012043
632544302032
75143603640
oct1445764344
9481506552
10211282148
11a9299450
125a911918
1334a0762c
14200bbc20
15138371b8
hexc97e8e4

211282148 has 48 divisors (see below), whose sum is σ = 467343744. Its totient is φ = 81181440.

The previous prime is 211282121. The next prime is 211282207. The reversal of 211282148 is 841282112.

It is a self number, because there is not a number n which added to its sum of digits gives 211282148.

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, 17786 + ... + 27182.

It is an arithmetic number, because the mean of its divisors is an integer number (9736328).

Almost surely, 2211282148 is an apocalyptic number.

211282148 is a gapful number since it is divisible by the number (28) 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 211282148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233671872).

211282148 is an abundant number, since it is smaller than the sum of its proper divisors (256061596).

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

211282148 is a wasteful number, since it uses less digits than its factorization.

211282148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9490 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 211282148 is about 14535.5477364976. The cubic root of 211282148 is about 595.5994222833.

The spelling of 211282148 in words is "two hundred eleven million, two hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 146 154 292 308 511 803 1022 1606 2044 3212 5621 9397 11242 18794 22484 37588 65779 103367 131558 206734 263116 413468 685981 723569 1371962 1447138 2743924 2894276 4801867 7545791 9603734 15091582 19207468 30183164 52820537 105641074 211282148