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212302048 = 2571983601
BaseRepresentation
bin11001010011101…
…11100011100000
3112210111001122211
430221313203200
5413322131143
633022211504
75155352260
oct1451674340
9483431584
10212302048
11a9925742
125b123b94
1334ca391a
14202a57a0
151398949d
hexca778e0

212302048 has 96 divisors (see below), whose sum is σ = 509725440. Its totient is φ = 85017600.

The previous prime is 212302037. The next prime is 212302049. The reversal of 212302048 is 840203212.

212302048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352948 + ... + 353548.

It is an arithmetic number, because the mean of its divisors is an integer number (5309640).

Almost surely, 2212302048 is an apocalyptic number.

212302048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254862720).

212302048 is an abundant number, since it is smaller than the sum of its proper divisors (297423392).

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

212302048 is a wasteful number, since it uses less digits than its factorization.

212302048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 212302048 is about 14570.5884575744. The cubic root of 212302048 is about 596.5562424090.

The spelling of 212302048 in words is "two hundred twelve million, three hundred two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 83 112 133 152 166 224 266 304 332 532 581 601 608 664 1064 1162 1202 1328 1577 2128 2324 2404 2656 3154 4207 4256 4648 4808 6308 8414 9296 9616 11039 11419 12616 16828 18592 19232 22078 22838 25232 33656 44156 45676 49883 50464 67312 79933 88312 91352 99766 134624 159866 176624 182704 199532 319732 349181 353248 365408 399064 639464 698362 798128 947777 1278928 1396724 1596256 1895554 2557856 2793448 3791108 5586896 6634439 7582216 11173792 13268878 15164432 26537756 30328864 53075512 106151024 212302048