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204600144 = 24371016029
BaseRepresentation
bin11000011000111…
…11001101010000
3112020222202122010
430030133031100
5404334201034
632145142520
75033033610
oct1414371520
9466882563
10204600144
11a5545131
125862aa40
1333508098
141d25ca40
1512e673e9
hexc31f350

204600144 has 80 divisors (see below), whose sum is σ = 610139520. Its totient is φ = 57868800.

The previous prime is 204600139. The next prime is 204600167. The reversal of 204600144 is 441006402.

It is a super-2 number, since 2×2046001442 = 83722437849641472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 204600144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30922 + ... + 36950.

It is an arithmetic number, because the mean of its divisors is an integer number (7626744).

Almost surely, 2204600144 is an apocalyptic number.

204600144 is a gapful number since it is divisible by the number (24) 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 204600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305069760).

204600144 is an abundant number, since it is smaller than the sum of its proper divisors (405539376).

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

204600144 is a wasteful number, since it uses less digits than its factorization.

204600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204600144 is about 14303.8506703615. The cubic root of 204600144 is about 589.2532388893.

Adding to 204600144 its reverse (441006402), we get a palindrome (645606546).

The spelling of 204600144 in words is "two hundred four million, six hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 6029 8484 11312 12058 16968 18087 24116 33936 36174 42203 48232 72348 84406 96464 126609 144696 168812 253218 289392 337624 506436 608929 675248 1012872 1217858 1826787 2025744 2435716 3653574 4262503 4871432 7307148 8525006 9742864 12787509 14614296 17050012 25575018 29228592 34100024 51150036 68200048 102300072 204600144