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206212384 = 2572347379
BaseRepresentation
bin11000100101010…
…00110100100000
3112101000200012201
430102220310200
5410242244014
632243502544
75052530200
oct1422506440
9471020181
10206212384
11a6446464
1259087a54
1333950b81
141d55c400
1513184e74
hexc4a8d20

206212384 has 72 divisors (see below), whose sum is σ = 474873840. Its totient is φ = 87889536.

The previous prime is 206212379. The next prime is 206212387. The reversal of 206212384 is 483212602.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (206212387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543907 + ... + 544285.

It is an arithmetic number, because the mean of its divisors is an integer number (6595470).

Almost surely, 2206212384 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 206212384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237436920).

206212384 is an abundant number, since it is smaller than the sum of its proper divisors (268661456).

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

206212384 is a wasteful number, since it uses less digits than its factorization.

206212384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 206212384 is about 14360.0969356060. The cubic root of 206212384 is about 590.7969542306.

Adding to 206212384 its reverse (483212602), we get a palindrome (689424986).

It can be divided in two parts, 20621 and 2384, that added together give a triangular number (23005 = T214).

The spelling of 206212384 in words is "two hundred six million, two hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 347 379 392 694 758 784 1388 1516 1568 2429 2653 2776 3032 4858 5306 5552 6064 9716 10612 11104 12128 17003 18571 19432 21224 34006 37142 38864 42448 68012 74284 77728 84896 131513 136024 148568 263026 272048 297136 526052 544096 594272 920591 1052104 1841182 2104208 3682364 4208416 6444137 7364728 12888274 14729456 25776548 29458912 51553096 103106192 206212384