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2204606064 = 243471815399
BaseRepresentation
bin1000001101100111…
…1001111001110000
312200122100120222110
42003121321321300
514003334343224
61002432205320
7105426561633
oct20331717160
95618316873
102204606064
11a31496191
12516399840
1329198503b
1416cb19c1a
15cd82b929
hex83679e70

2204606064 has 80 divisors (see below), whose sum is σ = 5849625600. Its totient is φ = 715127040.

The previous prime is 2204606029. The next prime is 2204606069. The reversal of 2204606064 is 4606064022.

2204606064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204606069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405637 + ... + 411035.

It is an arithmetic number, because the mean of its divisors is an integer number (73120320).

Almost surely, 22204606064 is an apocalyptic number.

2204606064 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 2204606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

2204606064 is an abundant number, since it is smaller than the sum of its proper divisors (3645019536).

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

2204606064 is a wasteful number, since it uses less digits than its factorization.

2204606064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2204606064 is about 46953.2327321559. The cubic root of 2204606064 is about 1301.4984819305.

The spelling of 2204606064 in words is "two billion, two hundred four million, six hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 181 188 282 362 376 543 564 724 752 1086 1128 1448 2172 2256 2896 4344 5399 8507 8688 10798 16197 17014 21596 25521 32394 34028 43192 51042 64788 68056 86384 102084 129576 136112 204168 253753 259152 408336 507506 761259 977219 1015012 1522518 1954438 2030024 2931657 3045036 3908876 4060048 5863314 6090072 7817752 11726628 12180144 15635504 23453256 45929293 46906512 91858586 137787879 183717172 275575758 367434344 551151516 734868688 1102303032 2204606064