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214350990 = 2357337563
BaseRepresentation
bin11001100011010…
…11110010001110
3112221100011021120
430301223302032
5414333212430
633134141410
75211645000
oct1461536216
9487304246
10214350990
11aaaa5087
125b951866
1335540409
142067a370
1513c41610
hexcc6bc8e

214350990 has 128 divisors (see below), whose sum is σ = 617241600. Its totient is φ = 47585664.

The previous prime is 214350971. The next prime is 214350991. The reversal of 214350990 is 99053412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214350991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380449 + ... + 381011.

It is an arithmetic number, because the mean of its divisors is an integer number (4822200).

Almost surely, 2214350990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214350990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308620800).

214350990 is an abundant number, since it is smaller than the sum of its proper divisors (402890610).

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

214350990 is a wasteful number, since it uses less digits than its factorization.

214350990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 214350990 is about 14640.7305145611. The cubic root of 214350990 is about 598.4692368169.

The spelling of 214350990 in words is "two hundred fourteen million, three hundred fifty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 343 370 490 518 555 563 686 735 777 1029 1110 1126 1295 1470 1554 1689 1715 1813 2058 2590 2815 3378 3430 3626 3885 3941 5145 5439 5630 7770 7882 8445 9065 10290 10878 11823 12691 16890 18130 19705 20831 23646 25382 27195 27587 38073 39410 41662 54390 55174 59115 62493 63455 76146 82761 104155 118230 124986 126910 137935 145817 165522 190365 193109 208310 275870 291634 312465 380730 386218 413805 437451 579327 624930 729085 827610 874902 965545 1020719 1158654 1458170 1931090 2041438 2187255 2896635 3062157 4374510 5103595 5793270 6124314 7145033 10207190 14290066 15310785 21435099 30621570 35725165 42870198 71450330 107175495 214350990