Search a number
-
+
52226527860 = 223251337603217
BaseRepresentation
bin110000101000111100…
…011001001001110100
311222210202102111122200
4300220330121021310
51323424442342420
635554215424500
73526136106423
oct605074311164
9158722374580
1052226527860
1120170571421
12a156685130
134c0412bb30
1427563152ba
15155a0a1b90
hexc28f19274

52226527860 has 144 divisors (see below), whose sum is σ = 175217938896. Its totient is φ = 12508286976.

The previous prime is 52226527853. The next prime is 52226527867. The reversal of 52226527860 is 6872562225.

52226527860 is a `hidden beast` number, since 5 + 22 + 26 + 527 + 86 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52226527853) and next prime (52226527867).

It can be written as a sum of positive squares in 8 ways, for example, as 7232481936 + 44994045924 = 85044^2 + 212118^2 .

It is a super-2 number, since 2×522265278602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52226527867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215029 + ... + 388188.

Almost surely, 252226527860 is an apocalyptic number.

It is an amenable number.

52226527860 is an abundant number, since it is smaller than the sum of its proper divisors (122991411036).

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

52226527860 is a wasteful number, since it uses less digits than its factorization.

52226527860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603282 (or 603277 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 52226527860 in words is "fifty-two billion, two hundred twenty-six million, five hundred twenty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 14430 17316 21645 28860 43290 86580 603217 1206434 1809651 2412868 3016085 3619302 5428953 6032170 7238604 7841821 9048255 10857906 12064340 15683642 18096510 21715812 22319029 23525463 27144765 31367284 36193020 39209105 44638058 47050926 54289530 66957087 70576389 78418210 89276116 94101852 108579060 111595145 117627315 133914174 141152778 156836420 200871261 223190290 235254630 267828348 282305556 290147377 334785435 352881945 401742522 446380580 470509260 580294754 669570870 705763890 803485044 870442131 1004356305 1160589508 1339141740 1411527780 1450736885 1740884262 2008712610 2611326393 2901473770 3481768524 4017425220 4352210655 5222652786 5802947540 8704421310 10445305572 13056631965 17408842620 26113263930 52226527860