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206614152 = 2335234621
BaseRepresentation
bin11000101000010…
…10111010001000
3112101210002100000
430110022322020
5410343123102
632300243000
75056122423
oct1424127210
9471702300
10206614152
11a66a02a8
1259240460
1333a619c4
141d6249ba
151321401c
hexc50ae88

206614152 has 96 divisors (see below), whose sum is σ = 605666880. Its totient is φ = 65862720.

The previous prime is 206614147. The next prime is 206614169. The reversal of 206614152 is 251416602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42402 + ... + 47022.

It is an arithmetic number, because the mean of its divisors is an integer number (6309030).

Almost surely, 2206614152 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 206614152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302833440).

206614152 is an abundant number, since it is smaller than the sum of its proper divisors (399052728).

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

206614152 is a wasteful number, since it uses less digits than its factorization.

206614152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 206614152 is about 14374.0791705069. The cubic root of 206614152 is about 591.1803927668.

The spelling of 206614152 in words is "two hundred six million, six hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4621 4968 5589 7452 9242 11178 13863 14904 18484 22356 27726 36968 41589 44712 55452 83178 106283 110904 124767 166356 212566 249534 318849 332712 374301 425132 499068 637698 748602 850264 956547 998136 1122903 1275396 1497204 1913094 2245806 2550792 2869641 2994408 3826188 4491612 5739282 7652376 8608923 8983224 11478564 17217846 22957128 25826769 34435692 51653538 68871384 103307076 206614152