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20533114224 = 2433741165611
BaseRepresentation
bin10011000111110111…
…100111010101110000
31221222222200021111000
4103013313213111300
5314022434123344
613233251522000
71324554406530
oct230767472560
957888607430
1020533114224
118787453697
123b905b9300
131c22c8533c
14dcb01b4c0
15802975a69
hex4c7de7570

20533114224 has 160 divisors (see below), whose sum is σ = 69000583680. Its totient is φ = 5723481600.

The previous prime is 20533114211. The next prime is 20533114229. The reversal of 20533114224 is 42241133502.

20533114224 is a `hidden beast` number, since 205 + 3 + 31 + 1 + 422 + 4 = 666.

It is a super-2 number, since 2×205331142242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533114229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41179 + ... + 206789.

It is an arithmetic number, because the mean of its divisors is an integer number (431253648).

Almost surely, 220533114224 is an apocalyptic number.

20533114224 is a gapful number since it is divisible by the number (24) 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 20533114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500291840).

20533114224 is an abundant number, since it is smaller than the sum of its proper divisors (48467469456).

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

20533114224 is a wasteful number, since it uses less digits than its factorization.

20533114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165676 (or 165664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20533114224 its reverse (42241133502), we get a palindrome (62774247726).

The spelling of 20533114224 in words is "twenty billion, five hundred thirty-three million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 4428 4592 5166 5904 6888 7749 8856 10332 13776 15498 17712 20664 30996 41328 61992 123984 165611 331222 496833 662444 993666 1159277 1324888 1490499 1987332 2318554 2649776 2980998 3477831 3974664 4471497 4637108 5961996 6790051 6955662 7949328 8942994 9274216 10433493 11923992 13580102 13911324 17885988 18548432 20370153 20866986 23847984 27160204 27822648 31300479 35771976 40740306 41733972 47530357 54320408 55645296 61110459 62600958 71543952 81480612 83467944 95060714 108640816 122220918 125201916 142591071 162961224 166935888 183331377 190121428 244441836 250403832 285182142 325922448 366662754 380242856 427773213 488883672 500807664 570364284 733325508 760485712 855546426 977767344 1140728568 1283319639 1466651016 1711092852 2281457136 2566639278 2933302032 3422185704 5133278556 6844371408 10266557112 20533114224