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212118528 = 2103292381
BaseRepresentation
bin11001010010010…
…10110000000000
3112210010201220210
430221022300000
5413300243103
633014234120
75153656236
oct1451126000
9483121823
10212118528
11a980a876
125b055940
1334c3b22b
1420258956
151394ee03
hexca4ac00

212118528 has 88 divisors (see below), whose sum is σ = 585114480. Its totient is φ = 68239360.

The previous prime is 212118493. The next prime is 212118553. The reversal of 212118528 is 825811212.

212118528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212118495 and 212118504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87898 + ... + 90278.

Almost surely, 2212118528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292557240).

212118528 is an abundant number, since it is smaller than the sum of its proper divisors (372995952).

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

212118528 is a wasteful number, since it uses less digits than its factorization.

212118528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2415 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 212118528 is about 14564.2894780350. The cubic root of 212118528 is about 596.3842993940.

The spelling of 212118528 in words is "two hundred twelve million, one hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2381 2784 3072 3712 4762 5568 7143 7424 9524 11136 14286 14848 19048 22272 28572 29696 38096 44544 57144 69049 76192 89088 114288 138098 152384 207147 228576 276196 304768 414294 457152 552392 609536 828588 914304 1104784 1219072 1657176 1828608 2209568 2438144 3314352 3657216 4419136 6628704 7314432 8838272 13257408 17676544 26514816 35353088 53029632 70706176 106059264 212118528