Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
214139232 = 25324571627
BaseRepresentation
bin11001100001110…
…00000101100000
3112220221101210200
430300320011200
5414304423412
633125425200
75210103426
oct1460700540
9486841720
10214139232
11aa96aa7a
125b86b200
1335497c08
1420623116
1513bed9dc
hexcc38160

214139232 has 72 divisors (see below), whose sum is σ = 610666056. Its totient is φ = 71179776.

The previous prime is 214139231. The next prime is 214139267. The reversal of 214139232 is 232931412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2141392322 = 91711221363099648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214139196 and 214139205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214139231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130803 + ... + 132429.

It is an arithmetic number, because the mean of its divisors is an integer number (8481473).

Almost surely, 2214139232 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 214139232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305333028).

214139232 is an abundant number, since it is smaller than the sum of its proper divisors (396526824).

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

214139232 is a wasteful number, since it uses less digits than its factorization.

214139232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2089 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 214139232 is about 14633.4969163218. The cubic root of 214139232 is about 598.2720953527.

The spelling of 214139232 in words is "two hundred fourteen million, one hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 457 914 1371 1627 1828 2742 3254 3656 4113 4881 5484 6508 7312 8226 9762 10968 13016 14624 14643 16452 19524 21936 26032 29286 32904 39048 43872 52064 58572 65808 78096 117144 131616 156192 234288 468576 743539 1487078 2230617 2974156 4461234 5948312 6691851 8922468 11896624 13383702 17844936 23793248 26767404 35689872 53534808 71379744 107069616 214139232