Search a number
-
+
535838226 = 237211223743
BaseRepresentation
bin11111111100000…
…011111000010010
31101100021101212020
4133330003320102
52044133310401
6125100512310
716164356400
oct3774037022
91340241766
10535838226
11255515210
1212b54b696
1387022551
1451244470
1532096d36
hex1ff03e12

535838226 has 96 divisors (see below), whose sum is σ = 1367912448. Its totient is φ = 138368160.

The previous prime is 535838201. The next prime is 535838269. The reversal of 535838226 is 622838535.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720811 + ... + 721553.

It is an arithmetic number, because the mean of its divisors is an integer number (14249088).

Almost surely, 2535838226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535838226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683956224).

535838226 is an abundant number, since it is smaller than the sum of its proper divisors (832074222).

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

535838226 is a wasteful number, since it uses less digits than its factorization.

535838226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 535838226 is about 23148.1797556525. The cubic root of 535838226 is about 812.2278888706.

The spelling of 535838226 in words is "five hundred thirty-five million, eight hundred thirty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 223 231 294 446 462 539 669 743 1078 1338 1486 1561 1617 2229 2453 3122 3234 4458 4683 4906 5201 7359 8173 9366 10402 10927 14718 15603 16346 17171 21854 24519 31206 32781 34342 36407 49038 51513 57211 65562 72814 103026 109221 114422 120197 165689 171633 218442 240394 331378 343266 360591 400477 497067 721182 800954 994134 1159823 1201431 1822579 2319646 2402862 3479469 3645158 5467737 6958938 8118761 10935474 12758053 16237522 24356283 25516106 38274159 48712566 76548318 89306371 178612742 267919113 535838226