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212227120 = 2457378977
BaseRepresentation
bin11001010011001…
…01010000110000
3112210100020212201
430221211100300
5413312231440
633020432544
75154620650
oct1451452060
9483306781
10212227120
11a9884416
125b0a8754
1334c787a1
1420286360
151397219a
hexca65430

212227120 has 40 divisors (see below), whose sum is σ = 563919264. Its totient is φ = 72763392.

The previous prime is 212227109. The next prime is 212227129. The reversal of 212227120 is 21722212.

212227120 is digitally balanced in base 3, 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 (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (212227129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188929 + ... + 190048.

Almost surely, 2212227120 is an apocalyptic number.

212227120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212227120 is an abundant number, since it is smaller than the sum of its proper divisors (351692144).

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

212227120 is a wasteful number, since it uses less digits than its factorization.

212227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378997 (or 378991 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 212227120 is about 14568.0170236035. The cubic root of 212227120 is about 596.4860530630.

Adding to 212227120 its reverse (21722212), we get a palindrome (233949332).

The spelling of 212227120 in words is "two hundred twelve million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 378977 757954 1515908 1894885 2652839 3031816 3789770 5305678 6063632 7579540 10611356 13264195 15159080 21222712 26528390 30318160 42445424 53056780 106113560 212227120