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212012020 = 22511963691
BaseRepresentation
bin11001010001100…
…00101111110100
3112202221022211001
430220300233310
5413233341040
633012053044
75153033563
oct1450605764
9482838731
10212012020
11a9747850
125b004184
1334c018cc
142022bbda
151392d59a
hexca30bf4

212012020 has 24 divisors (see below), whose sum is σ = 485700768. Its totient is φ = 77095200.

The previous prime is 212011993. The next prime is 212012033. The reversal of 212012020 is 20210212.

212012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212011988 and 212012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481626 + ... + 482065.

It is an arithmetic number, because the mean of its divisors is an integer number (20237532).

Almost surely, 2212012020 is an apocalyptic number.

212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012020 is an abundant number, since it is smaller than the sum of its proper divisors (273688748).

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

212012020 is a wasteful number, since it uses less digits than its factorization.

212012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963711 (or 963709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212012020 is about 14560.6325412051. The cubic root of 212012020 is about 596.2844647498.

Adding to 212012020 its reverse (20210212), we get a palindrome (232222232).

The spelling of 212012020 in words is "two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 963691 1927382 3854764 4818455 9636910 10600601 19273820 21201202 42402404 53003005 106006010 212012020