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22125404560 = 245756370177
BaseRepresentation
bin10100100110110001…
…101110000110010000
32010002221212000012011
4110212301232012100
5330303100421220
614055252112304
71412200556440
oct244661560620
963087760164
1022125404560
119424239a16
124355905694
132117b1bb7c
1410dc6a6120
1589765065a
hex526c6e190

22125404560 has 80 divisors (see below), whose sum is σ = 58895623296. Its totient is φ = 7572271104.

The previous prime is 22125404557. The next prime is 22125404597. The reversal of 22125404560 is 6540452122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280192 + ... + 350368.

Almost surely, 222125404560 is an apocalyptic number.

22125404560 is a gapful number since it is divisible by the number (20) 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 22125404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29447811648).

22125404560 is an abundant number, since it is smaller than the sum of its proper divisors (36770218736).

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

22125404560 is a wasteful number, since it uses less digits than its factorization.

22125404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70760 (or 70754 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 22125404560 its reverse (6540452122), we get a palindrome (28665856682).

The spelling of 22125404560 in words is "twenty-two billion, one hundred twenty-five million, four hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 563 1126 2252 2815 3941 4504 5630 7882 9008 11260 15764 19705 22520 31528 39410 45040 63056 70177 78820 140354 157640 280708 315280 350885 491239 561416 701770 982478 1122832 1403540 1964956 2456195 2807080 3929912 4912390 5614160 7859824 9824780 19649560 39299120 39509651 79019302 158038604 197548255 276567557 316077208 395096510 553135114 632154416 790193020 1106270228 1382837785 1580386040 2212540456 2765675570 3160772080 4425080912 5531351140 11062702280 22125404560