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212442552 = 233271273319
BaseRepresentation
bin11001010100110…
…01110110111000
3112210202012101200
430222121312320
5413341130202
633025214200
75156506020
oct1452316670
9483665350
10212442552
11a9a11263
125b191360
133502286a
1420300a80
15139b5e1c
hexca99db8

212442552 has 96 divisors (see below), whose sum is σ = 662937600. Its totient is φ = 60201792.

The previous prime is 212442551. The next prime is 212442577. The reversal of 212442552 is 255244212.

212442552 is a `hidden beast` number, since 212 + 442 + 5 + 5 + 2 = 666.

212442552 is digitally balanced in base 3, 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 (212442551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62349 + ... + 65667.

It is an arithmetic number, because the mean of its divisors is an integer number (6905600).

Almost surely, 2212442552 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 212442552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331468800).

212442552 is an abundant number, since it is smaller than the sum of its proper divisors (450495048).

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

212442552 is a wasteful number, since it uses less digits than its factorization.

212442552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3458 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 212442552 is about 14575.4091537768. The cubic root of 212442552 is about 596.6878160406.

Adding to 212442552 its reverse (255244212), we get a palindrome (467686764).

The spelling of 212442552 in words is "two hundred twelve million, four hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 2286 2667 3048 3319 3556 4572 5334 6638 7112 8001 9144 9957 10668 13276 16002 19914 21336 23233 26552 29871 32004 39828 46466 59742 64008 69699 79656 92932 119484 139398 185864 209097 238968 278796 418194 421513 557592 836388 843026 1264539 1672776 1686052 2529078 2950591 3372104 3793617 5058156 5901182 7587234 8851773 10116312 11802364 15174468 17703546 23604728 26555319 30348936 35407092 53110638 70814184 106221276 212442552