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52202020224 = 2731713161043
BaseRepresentation
bin110000100111011110…
…111001110110000000
311222202001022101111110
4300213132321312000
51323402204121344
635551542243320
73525420564534
oct604736716600
9158661271443
1052202020224
1120158752482
12a14a426540
134bcc02aa83
142752d75bc4
151557d603b9
hexc277b9d80

52202020224 has 128 divisors (see below), whose sum is σ = 147941354880. Its totient is φ = 16251822080.

The previous prime is 52202020201. The next prime is 52202020237. The reversal of 52202020224 is 42202020225.

52202020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×522020202243 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52202020224.

It is a congruent number.

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, 824647 + ... + 885689.

It is an arithmetic number, because the mean of its divisors is an integer number (1155791835).

Almost surely, 252202020224 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 52202020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73970677440).

52202020224 is an abundant number, since it is smaller than the sum of its proper divisors (95739334656).

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

52202020224 is a wasteful number, since it uses less digits than its factorization.

52202020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61208 (or 61196 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 52202020224 its reverse (42202020225), we get a palindrome (94404040449).

Subtracting from 52202020224 its reverse (42202020225), we obtain a palindrome (9999999999).

The spelling of 52202020224 in words is "fifty-two billion, two hundred two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 131 136 192 204 262 272 384 393 408 524 544 786 816 1048 1088 1572 1632 2096 2176 2227 3144 3264 4192 4454 6288 6528 6681 8384 8908 12576 13362 16768 17816 25152 26724 35632 50304 53448 61043 71264 106896 122086 142528 183129 213792 244172 285056 366258 427584 488344 732516 855168 976688 1037731 1465032 1953376 2075462 2930064 3113193 3906752 4150924 5860128 6226386 7813504 7996633 8301848 11720256 12452772 15993266 16603696 23440512 23989899 24905544 31986532 33207392 47979798 49811088 63973064 66414784 95959596 99622176 127946128 132829568 135942761 191919192 199244352 255892256 271885522 383838384 398488704 407828283 511784512 543771044 767676768 815656566 1023569024 1087542088 1535353536 1631313132 2175084176 3070707072 3262626264 4350168352 6525252528 8700336704 13050505056 17400673408 26101010112 52202020224