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212230004 = 22729476783
BaseRepresentation
bin11001010011001…
…01111101110100
3112210100101211112
430221211331310
5413312330004
633020454152
75154632240
oct1451457564
9483311745
10212230004
11a98865a8
125b0aa358
1334c79bac
1420287420
1513972e6e
hexca65f74

212230004 has 96 divisors (see below), whose sum is σ = 460615680. Its totient is φ = 83647872.

The previous prime is 212229991. The next prime is 212230009. The reversal of 212230004 is 400032212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556947 + ... + 2557029.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2212230004 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 212230004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

212230004 is an abundant number, since it is smaller than the sum of its proper divisors (248385676).

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

212230004 is a wasteful number, since it uses less digits than its factorization.

212230004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212230004 is about 14568.1160072262. The cubic root of 212230004 is about 596.4887549766.

Adding to 212230004 its reverse (400032212), we get a palindrome (612262216).

The spelling of 212230004 in words is "two hundred twelve million, two hundred thirty thousand, four".

Divisors: 1 2 4 7 14 28 29 47 58 67 83 94 116 134 166 188 203 268 329 332 406 469 581 658 812 938 1162 1316 1363 1876 1943 2324 2407 2726 3149 3886 3901 4814 5452 5561 6298 7772 7802 9541 9628 11122 12596 13601 15604 16849 19082 22043 22244 27202 27307 33698 38164 38927 44086 54404 54614 67396 77854 88172 91321 109228 113129 155708 161269 182642 226258 261367 322538 365284 452516 522734 639247 645076 791903 1045468 1128883 1278494 1583806 1829569 2257766 2556988 3167612 3659138 4515532 7318276 7579643 15159286 30318572 53057501 106115002 212230004