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214145532 = 22341722287
BaseRepresentation
bin11001100001110…
…01100111111100
3112220221201110000
430300321213330
5414310124112
633125514300
75210130666
oct1460714774
9486851400
10214145532
11aa974787
125b872990
133549aa43
1420625536
1513c007dc
hexcc399fc

214145532 has 90 divisors (see below), whose sum is σ = 594946352. Its totient is φ = 67153536.

The previous prime is 214145531. The next prime is 214145539. The reversal of 214145532 is 235541412.

214145532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2141455323 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 214145496 and 214145505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214145531) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92493 + ... + 94779.

Almost surely, 2214145532 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 214145532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297473176).

214145532 is an abundant number, since it is smaller than the sum of its proper divisors (380800820).

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

214145532 is a wasteful number, since it uses less digits than its factorization.

214145532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2309 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 214145532 is about 14633.7121742913. The cubic root of 214145532 is about 598.2779623723.

Adding to 214145532 its reverse (235541412), we get a palindrome (449686944).

The spelling of 214145532 in words is "two hundred fourteen million, one hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2287 2601 2754 3468 4574 5202 5508 6861 7803 9148 10404 13722 15606 20583 23409 27444 31212 38879 41166 46818 61749 77758 82332 93636 116637 123498 155516 185247 233274 246996 349911 370494 466548 660943 699822 740988 1049733 1321886 1399644 1982829 2099466 2643772 3149199 3965658 4198932 5948487 6298398 7931316 11896974 12596796 17845461 23793948 35690922 53536383 71381844 107072766 214145532