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212711004 = 22321117191663
BaseRepresentation
bin11001010110110…
…11011001011100
3112211020211122100
430223123121130
5413423223004
633035045100
75162004462
oct1453333134
9484224570
10212711004
11aa084a20
125b2a0790
13350b7acc
1420370832
1513a1a739
hexcadb65c

212711004 has 144 divisors (see below), whose sum is σ = 654151680. Its totient is φ = 57438720.

The previous prime is 212710973. The next prime is 212711011. The reversal of 212711004 is 400117212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127077 + ... + 128739.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2212711004 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 212711004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

212711004 is an abundant number, since it is smaller than the sum of its proper divisors (441440676).

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

212711004 is a wasteful number, since it uses less digits than its factorization.

212711004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 212711004 is about 14584.6153188900. The cubic root of 212711004 is about 596.9390441371.

Adding to 212711004 its reverse (400117212), we get a palindrome (612828216).

It can be divided in two parts, 2127 and 11004, that added together give a palindrome (13131).

The spelling of 212711004 in words is "two hundred twelve million, seven hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 342 374 396 418 561 612 627 646 684 748 836 969 1122 1254 1292 1663 1683 1881 1938 2244 2508 2907 3326 3366 3553 3762 3876 4989 5814 6652 6732 7106 7524 9978 10659 11628 14212 14967 18293 19956 21318 28271 29934 31597 31977 36586 42636 54879 56542 59868 63194 63954 73172 84813 94791 109758 113084 126388 127908 164637 169626 189582 219516 254439 284373 310981 329274 339252 347567 379164 508878 537149 568746 621962 658548 695134 932943 1017756 1042701 1074298 1137492 1243924 1390268 1611447 1865886 2085402 2148596 2798829 3128103 3222894 3731772 4170804 4834341 5597658 5908639 6256206 6445788 9668682 11195316 11817278 12512412 17725917 19337364 23634556 35451834 53177751 70903668 106355502 212711004