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204413022 = 232113313119
BaseRepresentation
bin11000010111100…
…01100001011110
3112020122020221200
430023301201132
5404312204042
632141140330
75031324222
oct1413614136
9466566850
10204413022
11a5427590
125855a6a6
1333470b68
141d210782
1512e2bc4c
hexc2f185e

204413022 has 48 divisors (see below), whose sum is σ = 484773120. Its totient is φ = 61736400.

The previous prime is 204413017. The next prime is 204413023. The reversal of 204413022 is 220314402.

204413022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204412986 and 204413004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204413023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63979 + ... + 67097.

It is an arithmetic number, because the mean of its divisors is an integer number (10099440).

Almost surely, 2204413022 is an apocalyptic number.

204413022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204413022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242386560).

204413022 is an abundant number, since it is smaller than the sum of its proper divisors (280360098).

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

204413022 is a wasteful number, since it uses less digits than its factorization.

204413022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204413022 is about 14297.3082081908. The cubic root of 204413022 is about 589.0735455065.

Adding to 204413022 its reverse (220314402), we get a palindrome (424727424).

The spelling of 204413022 in words is "two hundred four million, four hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 993 1986 2979 3119 3641 5958 6238 7282 9357 10923 18714 21846 28071 32769 34309 56142 65538 68618 102927 205854 308781 617562 1032389 2064778 3097167 6194334 9291501 11356279 18583002 22712558 34068837 68137674 102206511 204413022