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206224680 = 23353746447
BaseRepresentation
bin11000100101010…
…11110100101000
3112101001022002010
430102223310220
5410243142210
632244035520
75052611064
oct1422536450
9471038063
10206224680
11a6454722
1259092ba0
133395664c
141d562aa4
1513188920
hexc4abd28

206224680 has 64 divisors (see below), whose sum is σ = 635408640. Its totient is φ = 53505792.

The previous prime is 206224663. The next prime is 206224687. The reversal of 206224680 is 86422602.

It is a super-2 number, since 2×2062246802 = 85057237282204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (206224687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18784 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (9928260).

Almost surely, 2206224680 is an apocalyptic number.

206224680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206224680 is an abundant number, since it is smaller than the sum of its proper divisors (429183960).

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

206224680 is a wasteful number, since it uses less digits than its factorization.

206224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46498 (or 46494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 206224680 is about 14360.5250600387. The cubic root of 206224680 is about 590.8086966469.

The spelling of 206224680 in words is "two hundred six million, two hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 46447 92894 139341 185788 232235 278682 371576 464470 557364 696705 928940 1114728 1393410 1718539 1857880 2786820 3437078 5155617 5573640 6874156 8592695 10311234 13748312 17185390 20622468 25778085 34370780 41244936 51556170 68741560 103112340 206224680