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212330220 = 223533710501
BaseRepresentation
bin11001010011111…
…10011011101100
3112210112111022020
430221332123230
5413324031340
633022550140
75155530354
oct1451763354
9483474266
10212330220
11a9944923
125b138350
1334cb36ab
14202b1b64
15139929d0
hexca7e6ec

212330220 has 48 divisors (see below), whose sum is σ = 596345568. Its totient is φ = 56448000.

The previous prime is 212330213. The next prime is 212330269. The reversal of 212330220 is 22033212.

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 212330220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14970 + ... + 25470.

It is an arithmetic number, because the mean of its divisors is an integer number (12423866).

Almost surely, 2212330220 is an apocalyptic number.

212330220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212330220 is an abundant number, since it is smaller than the sum of its proper divisors (384015348).

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

212330220 is a wasteful number, since it uses less digits than its factorization.

212330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212330220 is about 14571.5551675173. Note that the first 3 decimals coincide. The cubic root of 212330220 is about 596.5826284618.

Adding to 212330220 its reverse (22033212), we get a palindrome (234363432).

The spelling of 212330220 in words is "two hundred twelve million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 10501 20220 21002 31503 42004 52505 63006 105010 126012 157515 210020 315030 630060 3538837 7077674 10616511 14155348 17694185 21233022 35388370 42466044 53082555 70776740 106165110 212330220