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212040928 = 25111374397
BaseRepresentation
bin11001010001101…
…11110011100000
3112202222210110201
430220313303200
5413240302203
633012434544
75153214061
oct1450676340
9482883421
10212040928
11a9767540
125b018a54
1334c11b08
1420238568
1513936e1d
hexca37ce0

212040928 has 48 divisors (see below), whose sum is σ = 458834544. Its totient is φ = 95656960.

The previous prime is 212040919. The next prime is 212040929. The reversal of 212040928 is 829040212.

212040928 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 2×2120409282 = 89922710294202368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212040896 and 212040905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212040929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46026 + ... + 50422.

It is an arithmetic number, because the mean of its divisors is an integer number (9559053).

Almost surely, 2212040928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229417272).

212040928 is an abundant number, since it is smaller than the sum of its proper divisors (246793616).

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

212040928 is a wasteful number, since it uses less digits than its factorization.

212040928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 212040928 is about 14561.6251840239. The cubic root of 212040928 is about 596.3115647980.

The spelling of 212040928 in words is "two hundred twelve million, forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 4384 4397 6028 8794 12056 17588 24112 35176 48224 48367 70352 96734 140704 193468 386936 602389 773872 1204778 1547744 2409556 4819112 6626279 9638224 13252558 19276448 26505116 53010232 106020464 212040928