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505194228 = 2232711315879
BaseRepresentation
bin11110000111001…
…010011011110100
31022012121112012100
4132013022123310
52013312203403
6122044022100
715343036320
oct3607123364
91265545170
10505194228
1123a1949a0
12121231930
13808833c6
144b148980
152e5422a3
hex1e1ca6f4

505194228 has 144 divisors (see below), whose sum is σ = 1643765760. Its totient is φ = 126964800.

The previous prime is 505194227. The next prime is 505194233. The reversal of 505194228 is 822491505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505194192 and 505194201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505194227) 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, 82993 + ... + 88871.

It is an arithmetic number, because the mean of its divisors is an integer number (11415040).

Almost surely, 2505194228 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 505194228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821882880).

505194228 is an abundant number, since it is smaller than the sum of its proper divisors (1138571532).

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

505194228 is a wasteful number, since it uses less digits than its factorization.

505194228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 505194228 is about 22476.5261550801. The cubic root of 505194228 is about 796.4395041790.

The spelling of 505194228 in words is "five hundred five million, one hundred ninety-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 5879 6138 7161 7812 9548 11758 12276 14322 17637 21483 23516 28644 35274 41153 42966 52911 64669 70548 82306 85932 105822 123459 129338 164612 182249 194007 211644 246918 258676 364498 370377 388014 452683 493836 546747 582021 728996 740754 776028 905366 1093494 1164042 1275743 1358049 1481508 1640241 1810732 2004739 2186988 2328084 2551486 2716098 3280482 3827229 4009478 4074147 5102972 5432196 6014217 6560964 7654458 8018956 8148294 11481687 12028434 14033173 15308916 16296588 18042651 22963374 24056868 28066346 36085302 42099519 45926748 56132692 72170604 84199038 126298557 168398076 252597114 505194228