Search a number
-
+
214187436 = 223318110957
BaseRepresentation
bin11001100010000…
…11110110101100
3112221000211221000
430301003312230
5414312444221
633130440300
75210364111
oct1461036654
9487024830
10214187436
11aa9a3211
125b893090
13354b3b38
1420636908
1513c0ce26
hexcc43dac

214187436 has 48 divisors (see below), whose sum is σ = 558419680. Its totient is φ = 70994880.

The previous prime is 214187423. The next prime is 214187443. The reversal of 214187436 is 634781412.

214187436 is a `hidden beast` number, since 2 + 141 + 87 + 436 = 666.

214187436 is digitally balanced in base 2 and base 3, because in such bases 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 an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 214187436.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14070 + ... + 25026.

Almost surely, 2214187436 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 214187436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279209840).

214187436 is an abundant number, since it is smaller than the sum of its proper divisors (344232244).

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

214187436 is a wasteful number, since it uses less digits than its factorization.

214187436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11151 (or 11143 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 214187436 is about 14635.1438667339. The cubic root of 214187436 is about 598.3169835066.

The spelling of 214187436 in words is "two hundred fourteen million, one hundred eighty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 9774 10957 19548 21914 32871 43828 65742 98613 131484 197226 295839 394452 591678 1183356 1983217 3966434 5949651 7932868 11899302 17848953 23798604 35697906 53546859 71395812 107093718 214187436