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212834720 = 2557190031
BaseRepresentation
bin11001010111110…
…01100110100000
3112211111010100102
430223321212200
5413441202340
633041441532
75163031250
oct1453714640
9484433312
10212834720
11aa15996a
125b3402a8
133512c207
14203a3960
1513a42215
hexcaf99a0

212834720 has 48 divisors (see below), whose sum is σ = 574656768. Its totient is φ = 72971520.

The previous prime is 212834719. The next prime is 212834723. The reversal of 212834720 is 27438212.

212834720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212834723) 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, 93896 + ... + 96135.

It is an arithmetic number, because the mean of its divisors is an integer number (11972016).

Almost surely, 2212834720 is an apocalyptic number.

212834720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212834720 is an abundant number, since it is smaller than the sum of its proper divisors (361822048).

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

212834720 is a wasteful number, since it uses less digits than its factorization.

212834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190053 (or 190045 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 212834720 is about 14588.8560209497. The cubic root of 212834720 is about 597.0547513586.

The spelling of 212834720 in words is "two hundred twelve million, eight hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 190031 380062 760124 950155 1330217 1520248 1900310 2660434 3040496 3800620 5320868 6080992 6651085 7601240 10641736 13302170 15202480 21283472 26604340 30404960 42566944 53208680 106417360 212834720