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204222244416 = 2633173470021
BaseRepresentation
bin1011111000110010011…
…0000010011001000000
3201112010121011220222020
42332030212002121000
511321221343310131
6233452435241440
720516550302331
oct2761446023100
9645117156866
10204222244416
11796791509a3
12336b5749280
1316347cb5a58
149c54b68288
1554a3e99996
hex2f8c982640

204222244416 has 112 divisors (see below), whose sum is σ = 565410144768. Its totient is φ = 64975564800.

The previous prime is 204222244357. The next prime is 204222244423. The reversal of 204222244416 is 614442222402.

It is a super-2 number, since 2×2042222444162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 199486 + ... + 669506.

It is an arithmetic number, because the mean of its divisors is an integer number (5048304864).

Almost surely, 2204222244416 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 204222244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282705072384).

204222244416 is an abundant number, since it is smaller than the sum of its proper divisors (361187900352).

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

204222244416 is a wasteful number, since it uses less digits than its factorization.

204222244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470140 (or 470130 counting only the distinct ones).

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

Adding to 204222244416 its reverse (614442222402), we get a palindrome (818664466818).

The spelling of 204222244416 in words is "two hundred four billion, two hundred twenty-two million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 73 93 96 124 146 186 192 219 248 292 372 438 496 584 744 876 992 1168 1488 1752 1984 2263 2336 2976 3504 4526 4672 5952 6789 7008 9052 13578 14016 18104 27156 36208 54312 72416 108624 144832 217248 434496 470021 940042 1410063 1880084 2820126 3760168 5640252 7520336 11280504 14570651 15040672 22561008 29141302 30081344 34311533 43711953 45122016 58282604 68623066 87423906 90244032 102934599 116565208 137246132 174847812 205869198 233130416 274492264 349695624 411738396 466260832 548984528 699391248 823476792 932521664 1063657523 1097969056 1398782496 1646953584 2127315046 2195938112 2797564992 3190972569 3293907168 4254630092 6381945138 6587814336 8509260184 12763890276 17018520368 25527780552 34037040736 51055561104 68074081472 102111122208 204222244416