Search a number
-
+
214881390 = 23351814397
BaseRepresentation
bin11001100111011…
…01010001101110
3112222100002212000
430303231101232
5420002201030
633153353130
75216314233
oct1463552156
9488302760
10214881390
11100327629
125bb687a6
1335697969
142077778a
1513ce8860
hexcced46e

214881390 has 64 divisors (see below), whose sum is σ = 576313920. Its totient is φ = 56972160.

The previous prime is 214881361. The next prime is 214881391. The reversal of 214881390 is 93188412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214881391) 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, 46672 + ... + 51068.

It is an arithmetic number, because the mean of its divisors is an integer number (9004905).

Almost surely, 2214881390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214881390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288156960).

214881390 is an abundant number, since it is smaller than the sum of its proper divisors (361432530).

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

214881390 is a wasteful number, since it uses less digits than its factorization.

214881390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 214881390 is about 14658.8331732099. The cubic root of 214881390 is about 598.9624568746.

It can be divided in two parts, 2148 and 81390, that added together give a palindrome (83538).

The spelling of 214881390 in words is "two hundred fourteen million, eight hundred eighty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 270 362 543 905 1086 1629 1810 2715 3258 4397 4887 5430 8145 8794 9774 13191 16290 21985 24435 26382 39573 43970 48870 65955 79146 118719 131910 197865 237438 395730 593595 795857 1187190 1591714 2387571 3979285 4775142 7162713 7958570 11937855 14325426 21488139 23875710 35813565 42976278 71627130 107440695 214881390