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210222012 = 2237112133743
BaseRepresentation
bin11001000011110…
…11101110111100
3112122120101101110
430201323232330
5412304101022
632505442020
75131600110
oct1441735674
9478511343
10210222012
11a8734a00
125a4a0310
1334725c30
141dcc3740
15136c800c
hexc87bbbc

210222012 has 288 divisors, whose sum is σ = 697371136. Its totient is φ = 47900160.

The previous prime is 210222011. The next prime is 210222031.

210222012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888863 + ... + 4888905.

Almost surely, 2210222012 is an apocalyptic number.

210222012 is a gapful number since it is divisible by the number (22) 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 210222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348685568).

210222012 is an abundant number, since it is smaller than the sum of its proper divisors (487149124).

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

210222012 is a wasteful number, since it uses less digits than its factorization.

210222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 210222012 is about 14499.0348644315. The cubic root of 210222012 is about 594.6015853142.

It can be divided in two parts, 210 and 222012, that added together give a palindrome (222222).

The spelling of 210222012 in words is "two hundred ten million, two hundred twenty-two thousand, twelve".