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212202120 = 233513136027
BaseRepresentation
bin11001010010111…
…11001010001000
3112210021222120210
430221133022020
5413310431440
633020121120
75154455034
oct1451371210
9483258523
10212202120
11a9867659
125b0961a0
1334c6a2b0
142027b1c4
1513969a80
hexca5f288

212202120 has 64 divisors (see below), whose sum is σ = 685581120. Its totient is φ = 52233984.

The previous prime is 212202091. The next prime is 212202139. The reversal of 212202120 is 21202212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212202096 and 212202105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66454 + ... + 69573.

It is an arithmetic number, because the mean of its divisors is an integer number (10712205).

Almost surely, 2212202120 is an apocalyptic number.

212202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202120 is an abundant number, since it is smaller than the sum of its proper divisors (473379000).

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

212202120 is a wasteful number, since it uses less digits than its factorization.

212202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136054 (or 136050 counting only the distinct ones).

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

The square root of 212202120 is about 14567.1589543054. The cubic root of 212202120 is about 596.4626304566.

Adding to 212202120 its reverse (21202212), we get a palindrome (233404332).

The spelling of 212202120 in words is "two hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 136027 272054 408081 544108 680135 816162 1088216 1360270 1632324 1768351 2040405 2720540 3264648 3536702 4080810 5305053 5441080 7073404 8161620 8841755 10610106 14146808 16323240 17683510 21220212 26525265 35367020 42440424 53050530 70734040 106101060 212202120