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212630124 = 223723157701
BaseRepresentation
bin11001010110001…
…11101001101100
3112211002201200210
430223013221230
5413413130444
633033222420
75161216620
oct1453075154
9484081623
10212630124
11aa02a183
125b261a10
133508a055
142034d180
1513a017b9
hexcac7a6c

212630124 has 96 divisors (see below), whose sum is σ = 596284416. Its totient is φ = 57657600.

The previous prime is 212630113. The next prime is 212630183. The reversal of 212630124 is 421036212.

212630124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212630124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302974 + ... + 303674.

It is an arithmetic number, because the mean of its divisors is an integer number (6211296).

Almost surely, 2212630124 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 212630124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298142208).

212630124 is an abundant number, since it is smaller than the sum of its proper divisors (383654292).

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

212630124 is a wasteful number, since it uses less digits than its factorization.

212630124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 212630124 is about 14581.8422704403. The cubic root of 212630124 is about 596.8633756643.

Adding to 212630124 its reverse (421036212), we get a palindrome (633666336).

The spelling of 212630124 in words is "two hundred twelve million, six hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 157 161 276 314 322 471 483 628 644 701 942 966 1099 1402 1884 1932 2103 2198 2804 3297 3611 4206 4396 4907 6594 7222 8412 9814 10833 13188 14444 14721 16123 19628 21666 25277 29442 32246 43332 48369 50554 58884 64492 75831 96738 101108 110057 112861 151662 193476 220114 225722 303324 330171 338583 440228 451444 660342 677166 770399 1320684 1354332 1540798 2311197 2531311 3081596 4622394 5062622 7593933 9244788 10125244 15187866 17719177 30375732 35438354 53157531 70876708 106315062 212630124