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202293729 = 321124312
BaseRepresentation
bin11000000111011…
…00000111100001
3112002122120211100
430003230013201
5403241344404
632023505013
75004316431
oct1403540741
9462576740
10202293729
11a420a300
12578b8169
1332bab341
141cc1c2c1
1512b5dd39
hexc0ec1e1

202293729 has 27 divisors (see below), whose sum is σ = 321927697. Its totient is φ = 122317800.

The previous prime is 202293719. The next prime is 202293757. The reversal of 202293729 is 927392202.

It is a happy number.

The square root of 202293729 is 14223.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 202293729 - 219 = 201769441 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202293693 and 202293702.

It is not an unprimeable number, because it can be changed into a prime (202293709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469144 + ... + 469574.

Almost surely, 2202293729 is an apocalyptic number.

202293729 is the 14223-rd square number.

202293729 is the 7112-nd centered octagonal number.

It is an amenable number.

202293729 is a deficient number, since it is larger than the sum of its proper divisors (119633968).

202293729 is an equidigital number, since it uses as much as digits as its factorization.

202293729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 202293729 is about 587.0306898776.

Multiplying 202293729 by its sum of digits (36), we get a square (7282574244 = 853382).

The spelling of 202293729 in words is "two hundred two million, two hundred ninety-three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 33 99 121 363 431 1089 1293 3879 4741 14223 42669 52151 156453 185761 469359 557283 1671849 2043371 6130113 18390339 22477081 67431243 202293729