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22054656672 = 25357613727
BaseRepresentation
bin10100100010100011…
…110101101010100000
32002221000201122100000
4110202203311222200
5330131443003142
614044243500000
71410351326406
oct244243655240
962830648300
1022054656672
119398307a94
124336087600
13210627ab09
1410d312b476
1589132814c
hex5228f5aa0

22054656672 has 144 divisors (see below), whose sum is σ = 65143757952. Its totient is φ = 7339921920.

The previous prime is 22054656671. The next prime is 22054656677. The reversal of 22054656672 is 27665645022.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22054656671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5915673 + ... + 5919399.

It is an arithmetic number, because the mean of its divisors is an integer number (452387208).

Almost surely, 222054656672 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 22054656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32571878976).

22054656672 is an abundant number, since it is smaller than the sum of its proper divisors (43089101280).

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

22054656672 is an equidigital number, since it uses as much as digits as its factorization.

22054656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 22054656672 in words is "twenty-two billion, fifty-four million, six hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 761 864 972 1296 1522 1944 2283 2592 3044 3727 3888 4566 6088 6849 7454 7776 9132 11181 12176 13698 14908 18264 20547 22362 24352 27396 29816 33543 36528 41094 44724 54792 59632 61641 67086 73056 82188 89448 100629 109584 119264 123282 134172 164376 178896 184923 201258 219168 246564 268344 301887 328752 357792 369846 402516 493128 536688 603774 657504 739692 805032 905661 986256 1073376 1207548 1479384 1610064 1811322 1972512 2415096 2836247 2958768 3220128 3622644 4830192 5672494 5917536 7245288 8508741 9660384 11344988 14490576 17017482 22689976 25526223 28981152 34034964 45379952 51052446 68069928 76578669 90759904 102104892 136139856 153157338 204209784 229736007 272279712 306314676 408419568 459472014 612629352 689208021 816839136 918944028 1225258704 1378416042 1837888056 2450517408 2756832084 3675776112 5513664168 7351552224 11027328336 22054656672