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212034024 = 233712119
BaseRepresentation
bin11001010001101…
…10000111101000
3112202222110000000
430220312013220
5413240042044
633012343000
75153154666
oct1450660750
9482873000
10212034024
11a9762334
125b014a60
1334c0b927
1420235c36
1513934d69
hexca361e8

212034024 has 64 divisors (see below), whose sum is σ = 596304000. Its totient is φ = 70672176.

The previous prime is 212033999. The next prime is 212034037. The reversal of 212034024 is 420430212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212033988 and 212034006.

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, 11437 + ... + 23555.

It is an arithmetic number, because the mean of its divisors is an integer number (9317250).

Almost surely, 2212034024 is an apocalyptic number.

212034024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298152000).

212034024 is an abundant number, since it is smaller than the sum of its proper divisors (384269976).

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

212034024 is an equidigital number, since it uses as much as digits as its factorization.

212034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212034024 is about 14561.3881206429. The cubic root of 212034024 is about 596.3050928089.

Adding to 212034024 its reverse (420430212), we get a palindrome (632464236).

The spelling of 212034024 in words is "two hundred twelve million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 12119 17496 24238 36357 48476 72714 96952 109071 145428 218142 290856 327213 436284 654426 872568 981639 1308852 1963278 2617704 2944917 3926556 5889834 7853112 8834751 11779668 17669502 23559336 26504253 35339004 53008506 70678008 106017012 212034024