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212002028 = 22727011543
BaseRepresentation
bin11001010001011…
…10010011101100
3112202220211002222
430220232103230
5413233031103
633011534512
75152662500
oct1450562354
9482824088
10212002028
11a9740297
125abba438
1334bca1b4
1420228300
151392a638
hexca2e4ec

212002028 has 36 divisors (see below), whose sum is σ = 432471312. Its totient is φ = 90669600.

The previous prime is 212002027. The next prime is 212002031. The reversal of 212002028 is 820200212.

212002028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120020282 = 89889719752225568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001997 and 212002015.

It is not an unprimeable number, because it can be changed into a prime (212002027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136625 + ... + 138167.

It is an arithmetic number, because the mean of its divisors is an integer number (12013092).

Almost surely, 2212002028 is an apocalyptic number.

212002028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212002028 is an abundant number, since it is smaller than the sum of its proper divisors (220469284).

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

212002028 is a wasteful number, since it uses less digits than its factorization.

212002028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 212002028 is about 14560.2894202004. The cubic root of 212002028 is about 596.2750970923.

The spelling of 212002028 in words is "two hundred twelve million, two thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 701 1402 1543 2804 3086 4907 6172 9814 10801 19628 21602 34349 43204 68698 75607 137396 151214 302428 1081643 2163286 4326572 7571501 15143002 30286004 53000507 106001014 212002028