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214368198 = 23113171579
BaseRepresentation
bin11001100011011…
…11111111000110
3112221101000212220
430301233333012
5414334240243
633134353210
75212046112
oct1461577706
9487330786
10214368198
11100007000
125b95b806
13355481b5
1420682742
1513c46783
hexcc6ffc6

214368198 has 64 divisors (see below), whose sum is σ = 499633920. Its totient is φ = 61100160.

The previous prime is 214368197. The next prime is 214368233. The reversal of 214368198 is 891863412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214368197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134973 + ... + 136551.

It is an arithmetic number, because the mean of its divisors is an integer number (7806780).

Almost surely, 2214368198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214368198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249816960).

214368198 is an abundant number, since it is smaller than the sum of its proper divisors (285265722).

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

214368198 is a wasteful number, since it uses less digits than its factorization.

214368198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1612 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 214368198 is about 14641.3181783609. The cubic root of 214368198 is about 598.4852513344.

The spelling of 214368198 in words is "two hundred fourteen million, three hundred sixty-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 1331 1579 2057 2662 3158 3993 4114 4737 6171 7986 9474 12342 17369 22627 26843 34738 45254 52107 53686 67881 80529 104214 135762 161058 191059 295273 382118 573177 590546 885819 1146354 1771638 2101649 3248003 4203298 6304947 6496006 9744009 12609894 19488018 35728033 71456066 107184099 214368198