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214124220 = 223251189579
BaseRepresentation
bin11001100001101…
…00011010111100
3112220220122012200
430300310122330
5414303433340
633125231500
75210011602
oct1460643274
9486818180
10214124220
11aa95a772
125b862590
133549112b
142061b872
1513be9330
hexcc346bc

214124220 has 36 divisors (see below), whose sum is σ = 649510680. Its totient is φ = 57099744.

The previous prime is 214124153. The next prime is 214124233. The reversal of 214124220 is 22421412.

214124220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214124193 and 214124202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594610 + ... + 594969.

Almost surely, 2214124220 is an apocalyptic number.

214124220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214124220 is an abundant number, since it is smaller than the sum of its proper divisors (435386460).

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

214124220 is a wasteful number, since it uses less digits than its factorization.

214124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189594 (or 1189589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214124220 is about 14632.9839745692. The cubic root of 214124220 is about 598.2581146192.

Adding to 214124220 its reverse (22421412), we get a palindrome (236545632).

The spelling of 214124220 in words is "two hundred fourteen million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1189579 2379158 3568737 4758316 5947895 7137474 10706211 11895790 14274948 17843685 21412422 23791580 35687370 42824844 53531055 71374740 107062110 214124220