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923214208 = 2775319441
BaseRepresentation
bin110111000001110…
…010000110000000
32101100012010210211
4313001302012000
53342320323313
6231335403504
731610122420
oct6701620600
92340163724
10923214208
11434148554
12219223594
13119363ac7
148a880480
15560b4e3d
hex37072180

923214208 has 64 divisors (see below), whose sum is σ = 2141730720. Its totient is φ = 388177920.

The previous prime is 923214197. The next prime is 923214209. The reversal of 923214208 is 802412329.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 923214208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923214209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37768 + ... + 57208.

Almost surely, 2923214208 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 923214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070865360).

923214208 is an abundant number, since it is smaller than the sum of its proper divisors (1218516512).

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

923214208 is a wasteful number, since it uses less digits than its factorization.

923214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 923214208 is about 30384.4402285117. The cubic root of 923214208 is about 973.7201556667.

The spelling of 923214208 in words is "nine hundred twenty-three million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 19441 23744 38882 47488 77764 136087 155528 272174 311056 544348 622112 1030373 1088696 1244224 2060746 2177392 2488448 4121492 4354784 7212611 8242984 8709568 14425222 16485968 17419136 28850444 32971936 57700888 65943872 115401776 131887744 230803552 461607104 923214208