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209425379220 = 2232519831136529
BaseRepresentation
bin1100001100001010111…
…0011010111110010100
3202000120012210120002200
43003002232122332110
511412400344113340
6240113024404500
721062520231501
oct3030256327624
9660505716080
10209425379220
11808a9192102
1234708176730
1316996c58745
14a1c9bc64a8
1556aab79330
hex30c2b9af94

209425379220 has 288 divisors, whose sum is σ = 682841577600. Its totient is φ = 51799523328.

The previous prime is 209425379179. The next prime is 209425379249. The reversal of 209425379220 is 22973524902.

209425379220 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 2 + 537 + 92 + 20 = 666.

209425379220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2094253792204 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32072916 + ... + 32079444.

It is an arithmetic number, because the mean of its divisors is an integer number (2370977700).

Almost surely, 2209425379220 is an apocalyptic number.

209425379220 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 209425379220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341420788800).

209425379220 is an abundant number, since it is smaller than the sum of its proper divisors (473416198380).

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

209425379220 is a wasteful number, since it uses less digits than its factorization.

209425379220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 209425379220 in words is "two hundred nine billion, four hundred twenty-five million, three hundred seventy-nine thousand, two hundred twenty".