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214130220 = 22353568837
BaseRepresentation
bin11001100001101…
…01111000101100
3112220220221102220
430300311320230
5414304131340
633125315340
75210035233
oct1460657054
9486827386
10214130220
11aa964227
125b865b50
1335493a95
142061db1a
1513beaed0
hexcc35e2c

214130220 has 24 divisors (see below), whose sum is σ = 599564784. Its totient is φ = 57101376.

The previous prime is 214130197. The next prime is 214130221. The reversal of 214130220 is 22031412.

214130220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141302202 = 91703502234496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214130220.

It is not an unprimeable number, because it can be changed into a prime (214130221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784359 + ... + 1784478.

It is an arithmetic number, because the mean of its divisors is an integer number (24981866).

Almost surely, 2214130220 is an apocalyptic number.

214130220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214130220 is an abundant number, since it is smaller than the sum of its proper divisors (385434564).

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

214130220 is a wasteful number, since it uses less digits than its factorization.

214130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568849 (or 3568847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214130220 is about 14633.1889894172. The cubic root of 214130220 is about 598.2637025207.

Adding to 214130220 its reverse (22031412), we get a palindrome (236161632).

The spelling of 214130220 in words is "two hundred fourteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3568837 7137674 10706511 14275348 17844185 21413022 35688370 42826044 53532555 71376740 107065110 214130220