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212034020 = 225115991609
BaseRepresentation
bin11001010001101…
…10000111100100
3112202222102222212
430220312013210
5413240042040
633012342552
75153154662
oct1450660744
9482872885
10212034020
11a9762330
125b014a58
1334c0b923
1420235c32
1513934d65
hexca361e4

212034020 has 48 divisors (see below), whose sum is σ = 486864000. Its totient is φ = 76926720.

The previous prime is 212033999. The next prime is 212034037. The reversal of 212034020 is 20430212.

It is a junction number, because it is equal to n+sod(n) for n = 212033986 and 212034004.

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, 130976 + ... + 132584.

It is an arithmetic number, because the mean of its divisors is an integer number (10143000).

Almost surely, 2212034020 is an apocalyptic number.

212034020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212034020 is an abundant number, since it is smaller than the sum of its proper divisors (274829980).

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

212034020 is a wasteful number, since it uses less digits than its factorization.

212034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212034020 is about 14561.3879832934. The cubic root of 212034020 is about 596.3050890592.

Adding to 212034020 its reverse (20430212), we get a palindrome (232464232).

The spelling of 212034020 in words is "two hundred twelve million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 599 1198 1609 2396 2995 3218 5990 6436 6589 8045 11980 13178 16090 17699 26356 32180 32945 35398 65890 70796 88495 131780 176990 353980 963791 1927582 3855164 4818955 9637910 10601701 19275820 21203402 42406804 53008505 106017010 212034020