Search a number
-
+
214017012 = 2233111710597
BaseRepresentation
bin11001100000110…
…10001111110100
3112220201012011000
430300122033310
5414242021022
633123043300
75206054206
oct1460321764
9486635130
10214017012
11aa897170
125b810530
13354543b1
14205d0776
1513bc76ac
hexcc1a3f4

214017012 has 96 divisors (see below), whose sum is σ = 640967040. Its totient is φ = 61032960.

The previous prime is 214016993. The next prime is 214017053. The reversal of 214017012 is 210710412.

214017012 is digitally balanced in base 2, 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 (18).

It is a congruent number.

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, 14898 + ... + 25494.

It is an arithmetic number, because the mean of its divisors is an integer number (6676740).

Almost surely, 2214017012 is an apocalyptic number.

214017012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214017012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320483520).

214017012 is an abundant number, since it is smaller than the sum of its proper divisors (426950028).

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

214017012 is a wasteful number, since it uses less digits than its factorization.

214017012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 214017012 is about 14629.3202849620. The cubic root of 214017012 is about 598.1582523941.

Adding to 214017012 its reverse (210710412), we get a palindrome (424727424).

The spelling of 214017012 in words is "two hundred fourteen million, seventeen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 10597 20196 21194 31791 42388 63582 95373 116567 127164 180149 190746 233134 286119 349701 360298 381492 466268 540447 572238 699402 720596 1049103 1080894 1144476 1398804 1621341 1981639 2098206 2161788 3147309 3242682 3963278 4196412 4864023 5944917 6294618 6485364 7926556 9728046 11889834 12589236 17834751 19456092 23779668 35669502 53504253 71339004 107008506 214017012