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206118972 = 22334146549
BaseRepresentation
bin11000100100100…
…10000000111100
3112100211221002000
430102102000330
5410231301342
632241502300
75051660643
oct1422220074
9470757060
10206118972
11a6392264
1259041990
133391a4b7
141d53635a
151316744c
hexc49203c

206118972 has 48 divisors (see below), whose sum is σ = 547428000. Its totient is φ = 67029120.

The previous prime is 206118943. The next prime is 206118977. The reversal of 206118972 is 279811602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206118977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18847 + ... + 27702.

It is an arithmetic number, because the mean of its divisors is an integer number (11404750).

Almost surely, 2206118972 is an apocalyptic number.

It is an amenable number.

206118972 is an abundant number, since it is smaller than the sum of its proper divisors (341309028).

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

206118972 is a wasteful number, since it uses less digits than its factorization.

206118972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46603 (or 46595 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 206118972 is about 14356.8440821791. The cubic root of 206118972 is about 590.7077325275.

The spelling of 206118972 in words is "two hundred six million, one hundred eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 46549 93098 139647 186196 279294 418941 558588 837882 1256823 1675764 1908509 2513646 3817018 5027292 5725527 7634036 11451054 17176581 22902108 34353162 51529743 68706324 103059486 206118972