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212421552 = 24371494243
BaseRepresentation
bin11001010100101…
…00101110110000
3112210201010120220
430222110232300
5413334442202
633024533040
75156360550
oct1452245660
9483633526
10212421552
11a99a7502
125b181180
1335016135
14202d7160
15139aeabc
hexca94bb0

212421552 has 80 divisors (see below), whose sum is σ = 631507200. Its totient is φ = 60270336.

The previous prime is 212421523. The next prime is 212421569. The reversal of 212421552 is 255124212.

212421552 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47943 + ... + 52185.

It is an arithmetic number, because the mean of its divisors is an integer number (7893840).

Almost surely, 2212421552 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 212421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315753600).

212421552 is an abundant number, since it is smaller than the sum of its proper divisors (419085648).

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

212421552 is a wasteful number, since it uses less digits than its factorization.

212421552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4404 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 212421552 is about 14574.6887445324. The cubic root of 212421552 is about 596.6681544789.

Adding to 212421552 its reverse (255124212), we get a palindrome (467545764).

The spelling of 212421552 in words is "two hundred twelve million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1192 1788 2086 2384 3129 3576 4172 4243 6258 7152 8344 8486 12516 12729 16688 16972 25032 25458 29701 33944 50064 50916 59402 67888 89103 101832 118804 178206 203664 237608 356412 475216 632207 712824 1264414 1425648 1896621 2528828 3793242 4425449 5057656 7586484 8850898 10115312 13276347 15172968 17701796 26552694 30345936 35403592 53105388 70807184 106210776 212421552