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2004224220216 = 233237759199109
BaseRepresentation
bin11101001010100101000…
…100101001110000111000
321002121020211110110201200
4131022211010221300320
5230314122400021331
64132421120414200
7264541354532631
oct35124504516070
97077224413650
102004224220216
11702a9435aa79
12284522777360
13116cc777036a
146d00d8cc888
1537203c935e6
hex1d2a5129c38

2004224220216 has 96 divisors (see below), whose sum is σ = 5575603519200. Its totient is φ = 649926478080.

The previous prime is 2004224220181. The next prime is 2004224220343. The reversal of 2004224220216 is 6120224224002.

2004224220216 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 22 + 422 + 0 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2004224220216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20172870 + ... + 20271978.

It is an arithmetic number, because the mean of its divisors is an integer number (58079203325).

Almost surely, 22004224220216 is an apocalyptic number.

It is an amenable number.

2004224220216 is an abundant number, since it is smaller than the sum of its proper divisors (3571379298984).

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

2004224220216 is a wasteful number, since it uses less digits than its factorization.

2004224220216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106749 (or 106742 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2004224220216 its reverse (6120224224002), we get a palindrome (8124448444218).

The spelling of 2004224220216 in words is "two trillion, four billion, two hundred twenty-four million, two hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7591 15182 22773 30364 45546 60728 68319 91092 99109 136638 182184 198218 273276 280867 297327 396436 546552 561734 594654 792872 842601 891981 1123468 1189308 1685202 1783962 2246936 2378616 2527803 3370404 3567924 3667033 5055606 6740808 7135848 7334066 10111212 11001099 14668132 20222424 22002198 29336264 33003297 44004396 66006594 88008792 132013188 264026376 752336419 1504672838 2257009257 3009345676 4514018514 6018691352 6771027771 9028037028 13542055542 18056074056 27084111084 27836447503 54168222168 55672895006 83509342509 111345790012 167018685018 222691580024 250528027527 334037370036 501056055054 668074740072 1002112110108 2004224220216