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22117769472 = 283412113329
BaseRepresentation
bin10100100110010100…
…100110000100000000
32010002102111002211010
4110212110212010000
5330244122110342
614054420320520
71412045636631
oct244624460400
963072432733
1022117769472
11941a9a4627
124353243140
132116377876
1410db679888
15896b4329c
hex526526100

22117769472 has 144 divisors (see below), whose sum is σ = 60605254080. Its totient is φ = 7156531200.

The previous prime is 22117769459. The next prime is 22117769477. The reversal of 22117769472 is 27496771122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22117769477) by changing a digit.

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, 6642304 + ... + 6645632.

It is an arithmetic number, because the mean of its divisors is an integer number (420869820).

Almost surely, 222117769472 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 22117769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30302627040).

22117769472 is an abundant number, since it is smaller than the sum of its proper divisors (38487484608).

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

22117769472 is a wasteful number, since it uses less digits than its factorization.

22117769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3586 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The spelling of 22117769472 in words is "twenty-two billion, one hundred seventeen million, seven hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 211 246 256 328 384 422 492 633 656 768 844 984 1266 1312 1688 1968 2532 2624 3329 3376 3936 5064 5248 6658 6752 7872 8651 9987 10128 10496 13316 13504 15744 17302 19974 20256 25953 26632 27008 31488 34604 39948 40512 51906 53264 54016 69208 79896 81024 103812 106528 136489 138416 159792 162048 207624 213056 272978 276832 319584 409467 415248 426112 545956 553664 639168 702419 818934 830496 852224 1091912 1107328 1278336 1404838 1637868 1660992 2107257 2183824 2214656 2556672 2809676 3275736 3321984 4214514 4367648 5619352 6551472 6643968 8429028 8735296 11238704 13102944 16858056 17470592 22477408 26205888 28799179 33716112 34941184 44954816 52411776 57598358 67432224 86397537 89909632 104823552 115196716 134864448 172795074 179819264 230393432 269728896 345590148 460786864 539457792 691180296 921573728 1382360592 1843147456 2764721184 3686294912 5529442368 7372589824 11058884736 22117769472