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214223220 = 223254392711
BaseRepresentation
bin11001100010011…
…00100101110100
3112221002200000100
430301030211310
5414320120340
633131314100
75210603331
oct1461144564
9487080010
10214223220
11aaa18092
125b8ab930
13354c7203
1420645988
1513c18830
hexcc4c974

214223220 has 72 divisors (see below), whose sum is σ = 651530880. Its totient is φ = 56975040.

The previous prime is 214223197. The next prime is 214223221. The reversal of 214223220 is 22322412.

214223220 is a `hidden beast` number, since 21 + 422 + 3 + 220 = 666.

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 = 214223193 and 214223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77665 + ... + 80375.

It is an arithmetic number, because the mean of its divisors is an integer number (9049040).

Almost surely, 2214223220 is an apocalyptic number.

214223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325765440).

214223220 is an abundant number, since it is smaller than the sum of its proper divisors (437307660).

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

214223220 is a wasteful number, since it uses less digits than its factorization.

214223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214223220 is about 14636.3663523431. The cubic root of 214223220 is about 598.3503016493.

Adding to 214223220 its reverse (22322412), we get a palindrome (236545632).

It can be divided in two parts, 21422 and 3220, that added together give a palindrome (24642).

The spelling of 214223220 in words is "two hundred fourteen million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 2711 3951 4390 5268 5422 6585 7902 8133 8780 10844 13170 13555 15804 16266 19755 24399 26340 27110 32532 39510 40665 48798 54220 79020 81330 97596 121995 162660 243990 487980 1190129 2380258 3570387 4760516 5950645 7140774 10711161 11901290 14281548 17851935 21422322 23802580 35703870 42844644 53555805 71407740 107111610 214223220