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214031310 = 235293761109
BaseRepresentation
bin11001100000111…
…01101111001110
3112220201220202120
430300131233032
5414243000220
633123233410
75206143663
oct1460355716
9486656676
10214031310
11aa8a6989
125b818866
133545aa5c
14205d5a6a
1513bcba40
hexcc1dbce

214031310 has 128 divisors (see below), whose sum is σ = 559785600. Its totient is φ = 52254720.

The previous prime is 214031297. The next prime is 214031317. The reversal of 214031310 is 13130412.

It is a super-2 number, since 2×2140313102 = 91618803320632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214031310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214031317) 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, 1963536 + ... + 1963644.

It is an arithmetic number, because the mean of its divisors is an integer number (4373325).

Almost surely, 2214031310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279892800).

214031310 is an abundant number, since it is smaller than the sum of its proper divisors (345754290).

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

214031310 is a wasteful number, since it uses less digits than its factorization.

214031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 214031310 is about 14629.8089529563. The cubic root of 214031310 is about 598.1715726378.

Adding to 214031310 its reverse (13130412), we get a palindrome (227161722).

The spelling of 214031310 in words is "two hundred fourteen million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 61 74 87 109 111 122 145 174 183 185 218 222 290 305 327 366 370 435 545 555 610 654 870 915 1073 1090 1110 1635 1769 1830 2146 2257 3161 3219 3270 3538 4033 4514 5307 5365 6322 6438 6649 6771 8066 8845 9483 10614 10730 11285 12099 13298 13542 15805 16095 17690 18966 19947 20165 22570 24198 26535 31610 32190 33245 33855 39894 40330 47415 53070 60495 65453 66490 67710 94830 99735 116957 120990 130906 192821 196359 199470 233914 246013 327265 350871 385642 392718 492026 578463 584785 654530 701742 738039 964105 981795 1156926 1169570 1230065 1476078 1754355 1928210 1963590 2460130 2892315 3508710 3690195 5784630 7134377 7380390 14268754 21403131 35671885 42806262 71343770 107015655 214031310