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214211303432 = 23719261173707
BaseRepresentation
bin1100011101111111111…
…1010001100000001000
3202110220202100200212222
43013133333101200020
512002201043202212
6242223551353212
721322233015350
oct3073777214010
9673822320788
10214211303432
1182934772875
1235622b22808
131727a642269
14a52167db60
15588ade5c72
hex31dffd1808

214211303432 has 96 divisors (see below), whose sum is σ = 492399645120. Its totient is φ = 85546730880.

The previous prime is 214211303377. The next prime is 214211303443. The reversal of 214211303432 is 234303112412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146323 + ... + 1320029.

It is an arithmetic number, because the mean of its divisors is an integer number (5129162970).

Almost surely, 2214211303432 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 214211303432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246199822560).

214211303432 is an abundant number, since it is smaller than the sum of its proper divisors (278188341688).

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

214211303432 is a wasteful number, since it uses less digits than its factorization.

214211303432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173819 (or 173796 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 214211303432 its reverse (234303112412), we get a palindrome (448514415844).

The spelling of 214211303432 in words is "two hundred fourteen billion, two hundred eleven million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 266 361 427 488 532 722 854 1064 1159 1444 1708 2318 2527 2888 3416 4636 5054 8113 9272 10108 16226 20216 22021 32452 44042 64904 88084 154147 173707 176168 308294 347414 616588 694828 1215949 1233176 1389656 2431898 3300433 4863796 6600866 9727592 10596127 13201732 21192254 23103031 26403464 42384508 46206062 62708227 74172889 84769016 92412124 125416454 148345778 184824248 201326413 250832908 296691556 402652826 438957589 501665816 593383112 805305652 877915178 1409284891 1610611304 1755830356 2818569782 3511660712 3825201847 5637139564 7650403694 11274279128 15300807388 26776412929 30601614776 53552825858 107105651716 214211303432