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22224085504 = 29293153911
BaseRepresentation
bin10100101100101010…
…001010001000000000
32010100211112111222221
4110230222022020000
5331003331214004
614113135140424
71414506416125
oct245452121000
963324474887
1022224085504
119474a0a415
124382974714
1321323c016a
14110b83274c
158a1144354
hex52ca8a200

22224085504 has 160 divisors (see below), whose sum is σ = 48365475840. Its totient is φ = 10175692800.

The previous prime is 22224085489. The next prime is 22224085553. The reversal of 22224085504 is 40558042222.

It is a self number, because there is not a number n which added to its sum of digits gives 22224085504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24394809 + ... + 24395719.

It is an arithmetic number, because the mean of its divisors is an integer number (302284224).

Almost surely, 222224085504 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 22224085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182737920).

22224085504 is an abundant number, since it is smaller than the sum of its proper divisors (26141390336).

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

22224085504 is an equidigital number, since it uses as much as digits as its factorization.

22224085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 22224085504 in words is "twenty-two billion, two hundred twenty-four million, eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 31 32 53 58 62 64 106 116 124 128 212 232 248 256 424 464 496 512 848 899 911 928 992 1537 1643 1696 1798 1822 1856 1984 3074 3286 3392 3596 3644 3712 3968 6148 6572 6784 7192 7288 7424 7936 12296 13144 13568 14384 14576 14848 15872 24592 26288 26419 27136 28241 28768 29152 47647 48283 49184 52576 52838 56482 57536 58304 95294 96566 98368 105152 105676 112964 115072 116608 190588 193132 196736 210304 211352 225928 230144 233216 381176 386264 393472 420608 422704 451856 460288 466432 762352 772528 786944 818989 841216 845408 903712 1400207 1496773 1524704 1545056 1637978 1690816 1807424 2800414 2993546 3049408 3090112 3275956 3381632 3614848 5600828 5987092 6098816 6180224 6551912 6763264 7229696 11201656 11974184 12197632 12360448 13103824 13526528 14459392 22403312 23948368 24395264 24720896 26207648 43406417 44806624 47896736 52415296 86812834 89613248 95793472 104830592 173625668 179226496 191586944 209661184 347251336 358452992 383173888 419322368 694502672 716905984 766347776 1389005344 2778010688 5556021376 11112042752 22224085504