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212010022008 = 233231714093271
BaseRepresentation
bin1100010101110011001…
…0000011010001111000
3202021020100021000110100
43011130302003101320
511433144031201013
6241221314315400
721213543311301
oct3053462032170
9667210230410
10212010022008
1181a05148524
1235109888b60
1316cb9582585
14a39318b7a8
1557aca24473
hex315cc83478

212010022008 has 192 divisors, whose sum is σ = 602718105600. Its totient is φ = 67241664000.

The previous prime is 212010022001. The next prime is 212010022043. The reversal of 212010022008 is 800220010212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010022001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64813413 + ... + 64816683.

It is an arithmetic number, because the mean of its divisors is an integer number (3139156800).

Almost surely, 2212010022008 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 212010022008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301359052800).

212010022008 is an abundant number, since it is smaller than the sum of its proper divisors (390708083592).

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

212010022008 is a wasteful number, since it uses less digits than its factorization.

212010022008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 212010022008 in words is "two hundred twelve billion, ten million, twenty-two thousand, eight".