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8000226 = 23213179191
BaseRepresentation
bin11110100001001011100010
3120001110020200
4132201023202
54022001401
6443250030
7125000163
oct36411342
916043220
108000226
114574763
122819916
131871580
1410c376a
15a80686
hex7a12e2

8000226 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2435040.

The previous prime is 8000221. The next prime is 8000231. The reversal of 8000226 is 6220008.

It is an interprime number because it is at equal distance from previous prime (8000221) and next prime (8000231).

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 = 8000199 and 8000208.

It is not an unprimeable number, because it can be changed into a prime (8000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41791 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 28000226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

8000226 is an abundant number, since it is smaller than the sum of its proper divisors (10869534).

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

8000226 is a wasteful number, since it uses less digits than its factorization.

8000226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8000226 is about 2828.4670759972. The cubic root of 8000226 is about 200.0018833156.

The spelling of 8000226 in words is "eight million, two hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 191 234 358 382 537 573 1074 1146 1611 1719 2327 2483 3222 3438 4654 4966 6981 7449 13962 14898 20943 22347 34189 41886 44694 68378 102567 205134 307701 444457 615402 888914 1333371 2666742 4000113 8000226