Search a number
-
+
214035354 = 232134012281
BaseRepresentation
bin11001100000111…
…10101110011010
3112220202010022100
430300132232122
5414243112404
633123304230
75206161531
oct1460365632
9486663270
10214035354
11aa8a9a25
125b81b076
133545c850
14205d7318
1513bccd39
hexcc1eb9a

214035354 has 48 divisors (see below), whose sum is σ = 500880744. Its totient is φ = 65664000.

The previous prime is 214035329. The next prime is 214035373. The reversal of 214035354 is 453530412.

It can be written as a sum of positive squares in 4 ways, for example, as 206066025 + 7969329 = 14355^2 + 2823^2 .

It is a super-2 number, since 2×2140353542 = 91622265523810632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92694 + ... + 94974.

Almost surely, 2214035354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214035354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250440372).

214035354 is an abundant number, since it is smaller than the sum of its proper divisors (286845390).

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

214035354 is a wasteful number, since it uses less digits than its factorization.

214035354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 214035354 is about 14629.9471632675. The cubic root of 214035354 is about 598.1753399847.

Adding to 214035354 its reverse (453530412), we get a palindrome (667565766).

The spelling of 214035354 in words is "two hundred fourteen million, thirty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 802 1203 2281 2406 3609 4562 5213 6843 7218 10426 13686 15639 20529 29653 31278 41058 46917 59306 88959 93834 177918 266877 533754 914681 1829362 2744043 5488086 8232129 11890853 16464258 23781706 35672559 71345118 107017677 214035354