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212033024 = 29767883
BaseRepresentation
bin11001010001101…
…01111000000000
3112202222101121222
430220311320000
5413240024044
633012334212
75153152040
oct1450657000
9482871558
10212033024
11a9761605
125b014368
1334c0b338
1420235720
15139348ee
hexca35e00

212033024 has 80 divisors (see below), whose sum is σ = 491956608. Its totient is φ = 89413632.

The previous prime is 212033023. The next prime is 212033039. The reversal of 212033024 is 420330212.

It is a junction number, because it is equal to n+sod(n) for n = 212032993 and 212033011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239687 + ... + 240569.

Almost surely, 2212033024 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 212033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245978304).

212033024 is an abundant number, since it is smaller than the sum of its proper divisors (279923584).

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

212033024 is an frugal number, since it uses more digits than its factorization.

212033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 212033024 is about 14561.3537832167. The cubic root of 212033024 is about 596.3041553713.

Adding to 212033024 its reverse (420330212), we get a palindrome (632363236).

The spelling of 212033024 in words is "two hundred twelve million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 883 896 938 1072 1766 1792 1876 2144 3532 3584 3752 4288 6181 7064 7504 8576 12362 14128 15008 17152 24724 28256 30016 34304 49448 56512 59161 60032 98896 113024 118322 120064 197792 226048 236644 240128 395584 414127 452096 473288 791168 828254 946576 1582336 1656508 1893152 3164672 3313016 3786304 6626032 7572608 13252064 15145216 26504128 30290432 53008256 106016512 212033024