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214303422984 = 23376737351043
BaseRepresentation
bin1100011110010101111…
…0101011101000001000
3202111011011200212011020
43013211132223220020
512002343134013414
6242241042032440
721324432016440
oct3074536535010
9674134625136
10214303422984
1182981771632
1235649948720
1317293756b81
14a52d9bd120
1558940407a9
hex31e57aba08

214303422984 has 128 divisors (see below), whose sum is σ = 623112483840. Its totient is φ = 60152792832.

The previous prime is 214303422953. The next prime is 214303422989. The reversal of 214303422984 is 489224303412.

214303422984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (214303422989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172967 + ... + 4224009.

It is an arithmetic number, because the mean of its divisors is an integer number (4868066280).

Almost surely, 2214303422984 is an apocalyptic number.

214303422984 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 214303422984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311556241920).

214303422984 is an abundant number, since it is smaller than the sum of its proper divisors (408809060856).

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

214303422984 is a wasteful number, since it uses less digits than its factorization.

214303422984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51499 (or 51495 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 214303422984 in words is "two hundred fourteen billion, three hundred three million, four hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 373 402 469 536 746 804 938 1119 1407 1492 1608 1876 2238 2611 2814 2984 3752 4476 5222 5628 7833 8952 10444 11256 15666 20888 24991 31332 49982 51043 62664 74973 99964 102086 149946 153129 174937 199928 204172 299892 306258 349874 357301 408344 524811 599784 612516 699748 714602 1049622 1071903 1225032 1399496 1429204 2099244 2143806 2858408 3419881 4198488 4287612 6839762 8575224 10259643 13679524 19039039 20519286 23939167 27359048 38078078 41038572 47878334 57117117 71817501 76156156 82077144 95756668 114234234 133273273 143635002 152312312 191513336 228468468 266546546 287270004 399819819 456936936 533093092 574540008 799639638 1066186184 1275615613 1599279276 2551231226 3198558552 3826846839 5102462452 7653693678 8929309291 10204924904 15307387356 17858618582 26787927873 30614774712 35717237164 53575855746 71434474328 107151711492 214303422984