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204242412 = 223111918101
BaseRepresentation
bin11000010110001…
…11110111101100
3112020022120220210
430023013313230
5404241224122
632133342420
75030013633
oct1413076754
9466276823
10204242412
11a5320390
1258497a10
13334112ca
141d1a851a
1512de640c
hexc2c7dec

204242412 has 48 divisors (see below), whose sum is σ = 522676224. Its totient is φ = 61560000.

The previous prime is 204242411. The next prime is 204242417. The reversal of 204242412 is 214242402.

It is not an unprimeable number, because it can be changed into a prime (204242411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21162 + ... + 29262.

It is an arithmetic number, because the mean of its divisors is an integer number (10889088).

Almost surely, 2204242412 is an apocalyptic number.

204242412 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 204242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261338112).

204242412 is an abundant number, since it is smaller than the sum of its proper divisors (318433812).

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

204242412 is a wasteful number, since it uses less digits than its factorization.

204242412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 204242412 is about 14291.3404549748. The cubic root of 204242412 is about 588.9096130096.

Adding to 204242412 its reverse (214242402), we get a palindrome (418484814).

The spelling of 204242412 in words is "two hundred four million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 4202 6303 8101 8404 12606 16202 24303 25212 32404 48606 89111 97212 178222 267333 356444 534666 1069332 1547291 3094582 4641873 6189164 9283746 17020201 18567492 34040402 51060603 68080804 102121206 204242412