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212021304 = 233111943983
BaseRepresentation
bin11001010001100…
…11000000111000
3112202221210112220
430220303000320
5413234140204
633012204040
75153102625
oct1450630070
9482853486
10212021304
11a9753820
125b009620
1334c05bc1
142023134c
15139311d9
hexca33038

212021304 has 128 divisors (see below), whose sum is σ = 623462400. Its totient is φ = 59391360.

The previous prime is 212021239. The next prime is 212021311. The reversal of 212021304 is 403120212.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215197 + ... + 216179.

It is an arithmetic number, because the mean of its divisors is an integer number (4870800).

Almost surely, 2212021304 is an apocalyptic number.

212021304 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 212021304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311731200).

212021304 is an abundant number, since it is smaller than the sum of its proper divisors (411441096).

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

212021304 is a wasteful number, since it uses less digits than its factorization.

212021304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212021304 is about 14560.9513425463. The cubic root of 212021304 is about 596.2931683824.

Adding to 212021304 its reverse (403120212), we get a palindrome (615141516).

The spelling of 212021304 in words is "two hundred twelve million, twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 43 44 57 66 76 86 88 114 129 132 152 172 209 228 258 264 344 418 456 473 516 627 817 836 946 983 1032 1254 1419 1634 1672 1892 1966 2451 2508 2838 2949 3268 3784 3932 4902 5016 5676 5898 6536 7864 8987 9804 10813 11352 11796 17974 18677 19608 21626 23592 26961 32439 35948 37354 42269 43252 53922 56031 64878 71896 74708 84538 86504 107844 112062 126807 129756 149416 169076 205447 215688 224124 253614 259512 338152 410894 448248 464959 507228 616341 803111 821788 929918 1014456 1232682 1394877 1606222 1643576 1859836 2409333 2465364 2789754 3212444 3719672 4818666 4930728 5579508 6424888 8834221 9637332 11159016 17668442 19274664 26502663 35336884 53005326 70673768 106010652 212021304