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209690893200 = 243521924311257
BaseRepresentation
bin1100001101001010001…
…1010001101110010000
3202001020201102001210210
43003102203101232100
511413421332040300
6240155231324120
721102223116645
oct3032243215620
9661221361723
10209690893200
1180a25051748
1234781080640
1316a09c706c9
14a21317ddcc
1556c4125050
hex30d28d1b90

209690893200 has 360 divisors, whose sum is σ = 725474706528. Its totient is φ = 51737978880.

The previous prime is 209690893177. The next prime is 209690893201. The reversal of 209690893200 is 2398096902.

It is a super-3 number, since 3×2096908932003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 209690893200.

It is not an unprimeable number, because it can be changed into a prime (209690893201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18621972 + ... + 18633228.

Almost surely, 2209690893200 is an apocalyptic number.

209690893200 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 209690893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362737353264).

209690893200 is an abundant number, since it is smaller than the sum of its proper divisors (515783813328).

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

209690893200 is a wasteful number, since it uses less digits than its factorization.

209690893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 209690893200 in words is "two hundred nine billion, six hundred ninety million, eight hundred ninety-three thousand, two hundred".