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214035426 = 23311409881
BaseRepresentation
bin11001100000111…
…10101111100010
3112220202010102000
430300132233202
5414243113201
633123304430
75206161663
oct1460365742
9486663360
10214035426
11aa8a9a90
125b81b116
133545c8a7
14205d736a
1513bccd86
hexcc1ebe2

214035426 has 64 divisors (see below), whose sum is σ = 520732800. Its totient is φ = 64627200.

The previous prime is 214035413. The next prime is 214035443. The reversal of 214035426 is 624530412.

It is a super-2 number, since 2×2140354262 = 91622327166002952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 214035426.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242506 + ... + 243386.

It is an arithmetic number, because the mean of its divisors is an integer number (8136450).

Almost surely, 2214035426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214035426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260366400).

214035426 is an abundant number, since it is smaller than the sum of its proper divisors (306697374).

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

214035426 is a wasteful number, since it uses less digits than its factorization.

214035426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 214035426 is about 14629.9496239734. The cubic root of 214035426 is about 598.1754070587.

Adding to 214035426 its reverse (624530412), we get a palindrome (838565838).

The spelling of 214035426 in words is "two hundred fourteen million, thirty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 409 594 818 881 1227 1762 2454 2643 3681 4499 5286 7362 7929 8998 9691 11043 13497 15858 19382 22086 23787 26994 29073 40491 47574 58146 80982 87219 121473 174438 242946 261657 360329 523314 720658 1080987 2161974 3242961 3963619 6485922 7927238 9728883 11890857 19457766 23781714 35672571 71345142 107017713 214035426