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204244224 = 2831913997
BaseRepresentation
bin11000010110010…
…00010100000000
3112020022200101220
430023020110000
5404241303344
632133355040
75030022132
oct1413102400
9466280356
10204244224
11a5321788
1258498a80
1333412092
141d1a9052
1512de6c19
hexc2c8500

204244224 has 72 divisors (see below), whose sum is σ = 572238240. Its totient is φ = 64493568.

The previous prime is 204244217. The next prime is 204244259. The reversal of 204244224 is 422442402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204244194 and 204244203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7594 + ... + 21590.

Almost surely, 2204244224 is an apocalyptic number.

204244224 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 204244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286119120).

204244224 is an abundant number, since it is smaller than the sum of its proper divisors (367994016).

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

204244224 is a wasteful number, since it uses less digits than its factorization.

204244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 204244224 is about 14291.4038498672. The cubic root of 204244224 is about 588.9113545693.

Adding to 204244224 its reverse (422442402), we get a palindrome (626686626).

The spelling of 204244224 in words is "two hundred four million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 13997 14592 27994 41991 55988 83982 111976 167964 223952 265943 335928 447904 531886 671856 797829 895808 1063772 1343712 1595658 1791616 2127544 2687424 3191316 3583232 4255088 5374848 6382632 8510176 10749696 12765264 17020352 25530528 34040704 51061056 68081408 102122112 204244224