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214063080 = 233571123167
BaseRepresentation
bin11001100001001…
…01011111101000
3112220210112100020
430300211133220
5414300004310
633124040440
75206335420
oct1460453750
9486715306
10214063080
11aa918840
125b833120
133546c35a
1420603480
1513bd6170
hexcc257e8

214063080 has 128 divisors (see below), whose sum is σ = 800686080. Its totient is φ = 44478720.

The previous prime is 214063079. The next prime is 214063081. The reversal of 214063080 is 80360412.

It is a happy number.

214063080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214063079) and next prime (214063081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214063080.

It is not an unprimeable number, because it can be changed into a prime (214063081) 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, 2344 + ... + 20823.

It is an arithmetic number, because the mean of its divisors is an integer number (6255360).

Almost surely, 2214063080 is an apocalyptic number.

214063080 is a gapful number since it is divisible by the number (20) 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 214063080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400343040).

214063080 is an abundant number, since it is smaller than the sum of its proper divisors (586623000).

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

214063080 is a wasteful number, since it uses less digits than its factorization.

214063080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23199 (or 23195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 214063080 is about 14630.8947094838. The cubic root of 214063080 is about 598.2011679505.

The spelling of 214063080 in words is "two hundred fourteen million, sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 23167 46334 69501 92668 115835 139002 162169 185336 231670 254837 278004 324338 347505 463340 486507 509674 556008 648676 695010 764511 810845 926680 973014 1019348 1274185 1297352 1390020 1529022 1621690 1783859 1946028 2038696 2432535 2548370 2780040 3058044 3243380 3567718 3822555 3892056 4865070 5096740 5351577 6116088 6486760 7135436 7645110 8919295 9730140 10193480 10703154 14270872 15290220 17838590 19460280 21406308 26757885 30580440 35677180 42812616 53515770 71354360 107031540 214063080