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212474205840 = 2435133153181229
BaseRepresentation
bin1100010111100001110…
…0110001011010010000
3202022102200200222222010
43011320130301122100
511440121344041330
6241335335342520
721231210644031
oct3057034613220
9668380628863
10212474205840
1182123171726
1235219221a40
13170617a7270
14a3d8a9ca88
1557d86653b0
hex3178731690

212474205840 has 640 divisors, whose sum is σ = 753431777280. Its totient is φ = 49169203200.

The previous prime is 212474205829. The next prime is 212474205857. The reversal of 212474205840 is 48502474212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 927834846 + ... + 927835074.

It is an arithmetic number, because the mean of its divisors is an integer number (1177237152).

Almost surely, 2212474205840 is an apocalyptic number.

212474205840 is a gapful number since it is divisible by the number (20) 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 212474205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376715888640).

212474205840 is an abundant number, since it is smaller than the sum of its proper divisors (540957571440).

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

212474205840 is a wasteful number, since it uses less digits than its factorization.

212474205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 212474205840 in words is "two hundred twelve billion, four hundred seventy-four million, two hundred five thousand, eight hundred forty".