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206239488 = 2837132227
BaseRepresentation
bin11000100101011…
…11011100000000
3112101002001101120
430102233130000
5410244130423
632244232240
75053002210
oct1422573400
9471061346
10206239488
11a6464864
125909b680
1333960300
141d568240
151318cee3
hexc4af700

206239488 has 216 divisors, whose sum is σ = 682270848. Its totient is φ = 54153216.

The previous prime is 206239487. The next prime is 206239493. The reversal of 206239488 is 884932602.

It is a super-5 number, since 5×2062394885 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206239487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908431 + ... + 908657.

Almost surely, 2206239488 is an apocalyptic number.

206239488 is a gapful number since it is divisible by the number (28) 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 206239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341135424).

206239488 is an abundant number, since it is smaller than the sum of its proper divisors (476031360).

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

206239488 is a wasteful number, since it uses less digits than its factorization.

206239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 206239488 is about 14361.0406308178. The cubic root of 206239488 is about 590.8228373498.

The spelling of 206239488 in words is "two hundred six million, two hundred thirty-nine thousand, four hundred eighty-eight".