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512226 = 2321113199
BaseRepresentation
bin1111101000011100010
3222000122100
41331003202
5112342401
614551230
74232241
oct1750342
9860570
10512226
1131a930
12208516
1314c1c0
14d4958
15a1b86
hex7d0e2

512226 has 48 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 142560.

The previous prime is 512207. The next prime is 512249. The reversal of 512226 is 622215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 512199 and 512208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512226.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2512226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

512226 is an abundant number, since it is smaller than the sum of its proper divisors (798174).

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

512226 is a wasteful number, since it uses less digits than its factorization.

512226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 512226 is about 715.6996576777. The cubic root of 512226 is about 80.0117691019.

It can be divided in two parts, 51 and 2226, that multiplied together give a triangular number (113526 = T476).

The spelling of 512226 in words is "five hundred twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 199 234 286 398 429 597 858 1194 1287 1791 2189 2574 2587 3582 4378 5174 6567 7761 13134 15522 19701 23283 28457 39402 46566 56914 85371 170742 256113 512226