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204242224416 = 25314915790947
BaseRepresentation
bin1011111000110111001…
…0010000010100100000
3201112011222210000101020
42332031302100110200
511321242002140131
6233454431405440
720520212156136
oct2761562202440
9645158700336
10204242224416
117968945819a
1233700383880
131634c190039
149c57689756
1554a5ae4996
hex2f8dc90520

204242224416 has 96 divisors (see below), whose sum is σ = 543177835200. Its totient is φ = 67192359936.

The previous prime is 204242224393. The next prime is 204242224441. The reversal of 204242224416 is 614422242402.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200255 + ... + 2291201.

It is an arithmetic number, because the mean of its divisors is an integer number (5658102450).

Almost surely, 2204242224416 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 204242224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271588917600).

204242224416 is an abundant number, since it is smaller than the sum of its proper divisors (338935610784).

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

204242224416 is a wasteful number, since it uses less digits than its factorization.

204242224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91266 (or 91258 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 204242224416 its reverse (614422242402), we get a palindrome (818664466818).

The spelling of 204242224416 in words is "two hundred four billion, two hundred forty-two million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 157 298 314 447 471 596 628 894 942 1192 1256 1788 1884 2384 2512 3576 3768 4768 5024 7152 7536 14304 15072 23393 46786 70179 90947 93572 140358 181894 187144 272841 280716 363788 374288 545682 561432 727576 748576 1091364 1122864 1455152 2182728 2245728 2910304 4365456 8730912 13551103 14278679 27102206 28557358 40653309 42836037 54204412 57114716 81306618 85672074 108408824 114229432 162613236 171344148 216817648 228458864 325226472 342688296 433635296 456917728 650452944 685376592 1300905888 1370753184 2127523171 4255046342 6382569513 8510092684 12765139026 17020185368 25530278052 34040370736 51060556104 68080741472 102121112208 204242224416