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205531004 = 22729376841
BaseRepresentation
bin11000100000000…
…10011101111100
3112022202001112102
430100002131330
5410103443004
632221124232
75043661520
oct1420023574
9468661472
10205531004
11a6020538
12589b9678
13337729a3
141d421d80
151309d11e
hexc40277c

205531004 has 48 divisors (see below), whose sum is σ = 436793280. Its totient is φ = 82736640.

The previous prime is 205530977. The next prime is 205531019. The reversal of 205531004 is 400135502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26624 + ... + 33464.

It is an arithmetic number, because the mean of its divisors is an integer number (9099860).

Almost surely, 2205531004 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 205531004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218396640).

205531004 is an abundant number, since it is smaller than the sum of its proper divisors (231262276).

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

205531004 is a wasteful number, since it uses less digits than its factorization.

205531004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205531004 is about 14336.3525347279. The cubic root of 205531004 is about 590.1455199802.

Adding to 205531004 its reverse (400135502), we get a palindrome (605666506).

The spelling of 205531004 in words is "two hundred five million, five hundred thirty-one thousand, four".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 4292 6841 7511 13682 15022 27364 30044 47887 95774 191548 198389 253117 396778 506234 793556 1012468 1388723 1771819 2777446 3543638 5554892 7087276 7340393 14680786 29361572 51382751 102765502 205531004