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214330698 = 2342324161
BaseRepresentation
bin11001100011001…
…10110101001010
3112221022010110000
430301212311022
5414332040243
633133503430
75211531561
oct1461466512
9487263400
10214330698
11aaa9090a
125b941b76
13355340ca
1420672bd8
1513c3a5d3
hexcc66d4a

214330698 has 120 divisors (see below), whose sum is σ = 522724356. Its totient is φ = 65577600.

The previous prime is 214330693. The next prime is 214330709. The reversal of 214330698 is 896033412.

214330698 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149157369 + 65173329 = 12213^2 + 8073^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214330691) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3513588 + ... + 3513648.

Almost surely, 2214330698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214330698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261362178).

214330698 is an abundant number, since it is smaller than the sum of its proper divisors (308393658).

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

214330698 is a wasteful number, since it uses less digits than its factorization.

214330698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 214330698 is about 14640.0374999520. The cubic root of 214330698 is about 598.4503510928.

The spelling of 214330698 in words is "two hundred fourteen million, three hundred thirty thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 61 69 81 82 122 123 138 162 183 207 246 366 369 414 529 549 621 738 943 1058 1098 1107 1242 1403 1587 1647 1863 1886 2214 2501 2806 2829 3174 3294 3321 3726 4209 4761 4941 5002 5658 6642 7503 8418 8487 9522 9882 12627 14283 15006 16974 21689 22509 25254 25461 28566 32269 37881 42849 43378 45018 50922 57523 64538 65067 67527 75762 76383 85698 96807 113643 115046 130134 135054 152766 172569 193614 195201 202581 227286 290421 345138 390402 405162 517707 580842 585603 871263 1035414 1171206 1323029 1553121 1742526 1756809 2613789 2646058 3106242 3513618 3969087 4659363 5227578 7938174 9318726 11907261 23814522 35721783 71443566 107165349 214330698