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214364088 = 233237671201
BaseRepresentation
bin11001100011011…
…10111110111000
3112221100211020200
430301232332320
5414334122323
633134322200
75212031121
oct1461567670
9487324220
10214364088
11100003a04
125b959360
1335546373
1420681048
1513c45443
hexcc6efb8

214364088 has 96 divisors (see below), whose sum is σ = 605663760. Its totient is φ = 68428800.

The previous prime is 214364081. The next prime is 214364089. The reversal of 214364088 is 880463412.

214364088 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 640 + 8 + 8 = 666.

214364088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214364081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177888 + ... + 179088.

Almost surely, 2214364088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214364088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302831880).

214364088 is an abundant number, since it is smaller than the sum of its proper divisors (391299672).

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

214364088 is a wasteful number, since it uses less digits than its factorization.

214364088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214364088 is about 14641.1778214732. The cubic root of 214364088 is about 598.4814264666.

The spelling of 214364088 in words is "two hundred fourteen million, three hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 67 72 74 111 134 148 201 222 268 296 333 402 444 536 603 666 804 888 1201 1206 1332 1608 2402 2412 2479 2664 3603 4804 4824 4958 7206 7437 9608 9916 10809 14412 14874 19832 21618 22311 28824 29748 43236 44437 44622 59496 80467 86472 88874 89244 133311 160934 177748 178488 241401 266622 321868 355496 399933 482802 533244 643736 724203 799866 965604 1066488 1448406 1599732 1931208 2896812 2977279 3199464 5793624 5954558 8931837 11909116 17863674 23818232 26795511 35727348 53591022 71454696 107182044 214364088