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22858984104 = 2331123128191
BaseRepresentation
bin10101010010100000…
…000110101010101000
32012000002012201010220
4111102200012222220
5333303344442404
614300135210040
71436316105345
oct252240065250
965002181126
1022858984104
119770334100
12451b516920
132203ab75c8
14116bca17cc
158dbc574d9
hex552806aa8

22858984104 has 144 divisors (see below), whose sum is σ = 64914554880. Its totient is φ = 6702696000.

The previous prime is 22858984087. The next prime is 22858984117. The reversal of 22858984104 is 40148985822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2786649 + ... + 2794839.

It is an arithmetic number, because the mean of its divisors is an integer number (450795520).

Almost surely, 222858984104 is an apocalyptic number.

22858984104 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 22858984104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32457277440).

22858984104 is an abundant number, since it is smaller than the sum of its proper divisors (42055570776).

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

22858984104 is a wasteful number, since it uses less digits than its factorization.

22858984104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 22858984104 in words is "twenty-two billion, eight hundred fifty-eight million, nine hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 961 968 1023 1364 1452 1922 2046 2728 2883 2904 3751 3844 4092 5766 7502 7688 8184 8191 10571 11253 11532 15004 16382 21142 22506 23064 24573 30008 31713 32764 42284 45012 49146 63426 65528 84568 90024 90101 98292 116281 126852 180202 196584 232562 253704 253921 270303 348843 360404 465124 507842 540606 697686 720808 761763 930248 991111 1015684 1081212 1395372 1523526 1982222 2031368 2162424 2790744 2793131 2973333 3047052 3964444 5586262 5946666 6094104 7871551 7928888 8379393 11172524 11893332 15743102 16758786 22345048 23614653 23786664 30724441 31486204 33517572 47229306 61448882 62972408 67035144 86587061 92173323 94458612 122897764 173174122 184346646 188917224 245795528 259761183 346348244 368693292 519522366 692696488 737386584 952457671 1039044732 1904915342 2078089464 2857373013 3809830684 5714746026 7619661368 11429492052 22858984104