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22073066560 = 2651713929191
BaseRepresentation
bin10100100011101010…
…000100010001000000
32002222022100221221201
4110203222010101000
5330201201112220
614050142230544
71410663653506
oct244352042100
962868327851
1022073066560
1193a7741676
124340285454
13210a02553c
1410d5760676
15892c62d0a
hex523a84440

22073066560 has 112 divisors (see below), whose sum is σ = 56055646080. Its totient is φ = 8249794560.

The previous prime is 22073066549. The next prime is 22073066567. The reversal of 22073066560 is 6566037022.

It is a super-3 number, since 3×220730665603 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22073066567) 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, 741565 + ... + 770755.

It is an arithmetic number, because the mean of its divisors is an integer number (500496840).

Almost surely, 222073066560 is an apocalyptic number.

22073066560 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 22073066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28027823040).

22073066560 is an abundant number, since it is smaller than the sum of its proper divisors (33982579520).

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

22073066560 is a wasteful number, since it uses less digits than its factorization.

22073066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364 (or 29354 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 22073066560 in words is "twenty-two billion, seventy-three million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 139 160 170 272 278 320 340 544 556 680 695 1088 1112 1360 1390 2224 2363 2720 2780 4448 4726 5440 5560 8896 9452 11120 11815 18904 22240 23630 29191 37808 44480 47260 58382 75616 94520 116764 145955 151232 189040 233528 291910 378080 467056 496247 583820 756160 934112 992494 1167640 1868224 1984988 2335280 2481235 3969976 4057549 4670560 4962470 7939952 8115098 9341120 9924940 15879904 16230196 19849880 20287745 31759808 32460392 39699760 40575490 64920784 68978333 79399520 81150980 129841568 137956666 158799040 162301960 259683136 275913332 324603920 344891665 551826664 649207840 689783330 1103653328 1298415680 1379566660 2207306656 2759133320 4414613312 5518266640 11036533280 22073066560