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204414012 = 2232112167281
BaseRepresentation
bin11000010111100…
…01110000111100
3112020122022022100
430023301300330
5404312222022
632141145100
75031330135
oct1413616074
9466568270
10204414012
11a5428300
125855b190
133347144a
141d210c8c
1512e2c1ac
hexc2f1c3c

204414012 has 108 divisors (see below), whose sum is σ = 573391728. Its totient is φ = 61353600.

The previous prime is 204413971. The next prime is 204414019. The reversal of 204414012 is 210414402.

204414012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2044140122 = 83570176603872288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727312 + ... + 727592.

Almost surely, 2204414012 is an apocalyptic number.

204414012 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 204414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286695864).

204414012 is an abundant number, since it is smaller than the sum of its proper divisors (368977716).

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

204414012 is a wasteful number, since it uses less digits than its factorization.

204414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204414012 is about 14297.3428300506. The cubic root of 204414012 is about 589.0744964927.

Adding to 204414012 its reverse (210414402), we get a palindrome (414828414).

The spelling of 204414012 in words is "two hundred four million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 167 198 242 281 334 363 396 484 501 562 668 726 843 1002 1089 1124 1452 1503 1686 1837 2004 2178 2529 3006 3091 3372 3674 4356 5058 5511 6012 6182 7348 9273 10116 11022 12364 16533 18546 20207 22044 27819 33066 34001 37092 40414 46927 55638 60621 66132 68002 80828 93854 102003 111276 121242 136004 140781 181863 187708 204006 242484 281562 306009 363726 408012 422343 516197 563124 612018 727452 844686 1032394 1224036 1548591 1689372 2064788 3097182 4645773 5678167 6194364 9291546 11356334 17034501 18583092 22712668 34069002 51103503 68138004 102207006 204414012