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206897152 = 21671141
BaseRepresentation
bin11000101010100…
…00000000000000
3112102022110112111
430111100000000
5410431202102
632310305104
75061411460
oct1425200000
9472273474
10206897152
11a6873990
1259358194
1333b30767
141d699ba0
151326ccd7
hexc550000

206897152 has 136 divisors (see below), whose sum is σ = 528478272. Its totient is φ = 78643200.

The previous prime is 206897113. The next prime is 206897161. The reversal of 206897152 is 251798602.

It is a super-2 number, since 2×2068971522 = 85612863011422208, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5046252 + ... + 5046292.

Almost surely, 2206897152 is an apocalyptic number.

206897152 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 206897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264239136).

206897152 is an abundant number, since it is smaller than the sum of its proper divisors (321581120).

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

206897152 is an frugal number, since it uses more digits than its factorization.

206897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 206897152 is about 14383.9199107893. The cubic root of 206897152 is about 591.4501834564.

The spelling of 206897152 in words is "two hundred six million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 128 154 164 176 224 256 287 308 328 352 448 451 512 574 616 656 704 896 902 1024 1148 1232 1312 1408 1792 1804 2048 2296 2464 2624 2816 3157 3584 3608 4096 4592 4928 5248 5632 6314 7168 7216 8192 9184 9856 10496 11264 12628 14336 14432 16384 18368 19712 20992 22528 25256 28672 28864 32768 36736 39424 41984 45056 50512 57344 57728 65536 73472 78848 83968 90112 101024 114688 115456 146944 157696 167936 180224 202048 229376 230912 293888 315392 335872 360448 404096 458752 461824 587776 630784 671744 720896 808192 923648 1175552 1261568 1343488 1616384 1847296 2351104 2523136 2686976 3232768 3694592 4702208 5046272 6465536 7389184 9404416 12931072 14778368 18808832 25862144 29556736 51724288 103448576 206897152