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206714112 = 2831124469
BaseRepresentation
bin11000101001000…
…11010100000000
3112101222011110020
430110203110000
5410404322422
632302333440
75060020023
oct1424432400
9471864406
10206714112
11a6759410
125928a280
1333a98357
141d64d1ba
151323395c
hexc523500

206714112 has 72 divisors (see below), whose sum is σ = 600200160. Its totient is φ = 62638080.

The previous prime is 206714093. The next prime is 206714119. The reversal of 206714112 is 211417602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206714119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 20682.

Almost surely, 2206714112 is an apocalyptic number.

206714112 is a gapful number since it is divisible by the number (22) 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 206714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300100080).

206714112 is an abundant number, since it is smaller than the sum of its proper divisors (393486048).

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

206714112 is a wasteful number, since it uses less digits than its factorization.

206714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24499 (or 24485 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 206714112 is about 14377.5558423537. Note that the first 3 decimals coincide. The cubic root of 206714112 is about 591.2757151573.

The spelling of 206714112 in words is "two hundred six million, seven hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 24469 48938 73407 97876 146814 195752 269159 293628 391504 538318 587256 783008 807477 1076636 1174512 1566016 1614954 2153272 2349024 3132032 3229908 4306544 4698048 6264064 6459816 8613088 9396096 12919632 17226176 18792192 25839264 34452352 51678528 68904704 103357056 206714112