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22027473520 = 245133235449
BaseRepresentation
bin10100100000111100…
…001001001001110000
32002212010120121001121
4110200330021021300
5330103013123040
614041433112024
71406601302263
oct244074111160
962763517047
1022027473520
119383a30978
124328b58614
132100751000
1410cd692cda
1588dc58c4a
hex520f09270

22027473520 has 160 divisors (see below), whose sum is σ = 57902544000. Its totient is φ = 7778174976.

The previous prime is 22027473473. The next prime is 22027473521. The reversal of 22027473520 is 2537472022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22027473521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039756 + ... + 4045204.

It is an arithmetic number, because the mean of its divisors is an integer number (361890900).

Almost surely, 222027473520 is an apocalyptic number.

22027473520 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 22027473520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28951272000).

22027473520 is an abundant number, since it is smaller than the sum of its proper divisors (35875070480).

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

22027473520 is a wasteful number, since it uses less digits than its factorization.

22027473520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The spelling of 22027473520 in words is "twenty-two billion, twenty-seven million, four hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 169 184 208 230 260 299 338 368 460 520 598 676 845 920 1040 1196 1352 1495 1690 1840 2197 2392 2704 2990 3380 3887 4394 4784 5449 5980 6760 7774 8788 10898 10985 11960 13520 15548 17576 19435 21796 21970 23920 27245 31096 35152 38870 43592 43940 50531 54490 62192 70837 77740 87184 87880 101062 108980 125327 141674 155480 175760 202124 217960 250654 252655 283348 310960 354185 404248 435920 501308 505310 566696 626635 708370 808496 920881 1002616 1010620 1133392 1253270 1416740 1629251 1841762 2005232 2021240 2506540 2833480 3258502 3683524 4042480 4604405 5013080 5666960 6517004 7367048 8146255 9208810 10026160 11971453 13034008 14734096 16292510 18417620 21180263 23942906 26068016 32585020 36835240 42360526 47885812 59857265 65170040 73670480 84721052 95771624 105901315 119714530 130340080 169442104 191543248 211802630 239429060 275343419 338884208 423605260 478858120 550686838 847210520 957716240 1101373676 1376717095 1694421040 2202747352 2753434190 4405494704 5506868380 11013736760 22027473520