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205030404 = 22321731101107
BaseRepresentation
bin11000011100010…
…00010000000100
3112021210121211200
430032020100010
5404441433104
632202302500
75036505165
oct1416102004
9467717750
10205030404
11a5809417
12587b7a30
1333628b87
141d33176c
1512eeeb39
hexc388404

205030404 has 144 divisors (see below), whose sum is σ = 577414656. Its totient is φ = 61056000.

The previous prime is 205030361. The next prime is 205030411. The reversal of 205030404 is 404030502.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916119 + ... + 1916225.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2205030404 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 205030404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

205030404 is an abundant number, since it is smaller than the sum of its proper divisors (372384252).

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

205030404 is a wasteful number, since it uses less digits than its factorization.

205030404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205030404 is about 14318.8827776471. The cubic root of 205030404 is about 589.6660026681. Note that the first 3 decimals are identical.

Adding to 205030404 its reverse (404030502), we get a palindrome (609060906).

The spelling of 205030404 in words is "two hundred five million, thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 101 102 107 124 153 186 202 204 214 279 303 306 321 372 404 428 527 558 606 612 642 909 963 1054 1116 1212 1284 1581 1717 1818 1819 1926 2108 3131 3162 3317 3434 3636 3638 3852 4743 5151 5457 6262 6324 6634 6868 7276 9393 9486 9951 10302 10807 10914 12524 13268 15453 16371 18786 18972 19902 20604 21614 21828 28179 29853 30906 32421 32742 37572 39804 43228 53227 56358 56389 59706 61812 64842 65484 97263 106454 112716 112778 119412 129684 159681 169167 183719 194526 212908 225556 319362 335017 338334 367438 389052 479043 507501 551157 638724 670034 676668 734876 958086 1005051 1015002 1102314 1340068 1653471 1916172 2010102 2030004 2204628 3015153 3306942 4020204 5695289 6030306 6613884 11390578 12060612 17085867 22781156 34171734 51257601 68343468 102515202 205030404