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205226652 = 223177313781
BaseRepresentation
bin11000011101110…
…00001010011100
3112022011121001010
430032320022130
5410014223102
632210415220
75041253301
oct1416701234
9468147033
10205226652
11a5932904
1258891510
13336972b7
141d3830a8
151303cd6c
hexc3b829c

205226652 has 48 divisors (see below), whose sum is σ = 514013472. Its totient is φ = 63498240.

The previous prime is 205226641. The next prime is 205226663. The reversal of 205226652 is 256622502.

It is an interprime number because it is at equal distance from previous prime (205226641) and next prime (205226663).

It is a super-2 number, since 2×2052266522 = 84235957382258208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8002 + ... + 21782.

It is an arithmetic number, because the mean of its divisors is an integer number (10708614).

Almost surely, 2205226652 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 205226652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257006736).

205226652 is an abundant number, since it is smaller than the sum of its proper divisors (308786820).

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

205226652 is a wasteful number, since it uses less digits than its factorization.

205226652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 205226652 is about 14325.7339079015. The cubic root of 205226652 is about 589.8540786311.

The spelling of 205226652 in words is "two hundred five million, two hundred twenty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 13781 14892 27562 41343 55124 82686 165372 234277 468554 702831 937108 1006013 1405662 2012026 2811324 3018039 4024052 6036078 12072156 17102221 34204442 51306663 68408884 102613326 205226652