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2202212423216 = 2413174616312141
BaseRepresentation
bin100000000010111110000…
…101101101011000110000
321210112021222012021120002
4200002332011231120300
5242040112340020331
64403403223005132
7315050606512361
oct40027605553060
97715258167502
102202212423216
11779a53557323
122b69785997a8
1312c88b0446c0
1478832723b68
153c4407c49cb
hex200be16d630

2202212423216 has 160 divisors (see below), whose sum is σ = 4885857035136. Its totient is φ = 952584192000.

The previous prime is 2202212423161. The next prime is 2202212423239. The reversal of 2202212423216 is 6123242122022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028589506 + ... + 1028591646.

Almost surely, 22202212423216 is an apocalyptic number.

2202212423216 is a gapful number since it is divisible by the number (26) 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 2202212423216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442928517568).

2202212423216 is an abundant number, since it is smaller than the sum of its proper divisors (2683644611920).

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

2202212423216 is a wasteful number, since it uses less digits than its factorization.

2202212423216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2202212423216 its reverse (6123242122022), we get a palindrome (8325454545238).

The spelling of 2202212423216 in words is "two trillion, two hundred two billion, two hundred twelve million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 461 631 884 922 1262 1768 1844 2141 2524 3536 3688 4282 5048 5993 7376 7837 8203 8564 10096 10727 11986 15674 16406 17128 21454 23972 27833 31348 32812 34256 36397 42908 47944 55666 62696 65624 72794 85816 95888 101881 111332 125392 131248 139451 145588 171632 203762 222664 278902 290891 291176 407524 445328 473161 557804 581782 582352 815048 946322 987001 1115608 1163564 1350971 1630096 1892644 1974002 2231216 2327128 2701942 3781583 3785288 3948004 4654256 4945147 5403884 7563166 7570576 7896008 9890294 10807768 12831013 15126332 15792016 16779017 17562623 19780588 21615536 22966507 25662026 30252664 33558034 35125246 39561176 45933014 51324052 60505328 64286911 67116068 70250492 79122352 91866028 102648104 128573822 134232136 140500984 183732056 205296208 218127221 257147644 268464272 281001968 298564591 367464112 436254442 514295288 597129182 622797631 872508884 1028590576 1194258364 1245595262 1745017768 2388516728 2491190524 3490035536 4777033456 4982381048 8096369203 9964762096 10587559727 16192738406 21175119454 32385476812 42350238908 64770953624 84700477816 129541907248 137638276451 169400955632 275276552902 550553105804 1101106211608 2202212423216