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8226468 = 2233192211
BaseRepresentation
bin11111011000011010100100
3120110221121000
4133120122210
54101221333
6452153300
7126631605
oct37303244
916427530
108226468
114709738
122908830
131920543
141141dac
15ac7713
hex7d86a4

8226468 has 72 divisors (see below), whose sum is σ = 22616160. Its totient is φ = 2585520.

The previous prime is 8226451. The next prime is 8226499. The reversal of 8226468 is 8646228.

8226468 is a `hidden beast` number, since 8 + 2 + 2 + 646 + 8 = 666.

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

It is an Ulam number.

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, 38883 + ... + 39093.

Almost surely, 28226468 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 8226468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308080).

8226468 is an abundant number, since it is smaller than the sum of its proper divisors (14389692).

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

8226468 is a wasteful number, since it uses less digits than its factorization.

8226468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8226468 is about 2868.1820025933. The cubic root of 8226468 is about 201.8696999762.

The spelling of 8226468 in words is "eight million, two hundred twenty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 211 228 342 361 422 513 633 684 722 844 1026 1083 1266 1444 1899 2052 2166 2532 3249 3798 4009 4332 5697 6498 7596 8018 9747 11394 12027 12996 16036 19494 22788 24054 36081 38988 48108 72162 76171 108243 144324 152342 216486 228513 304684 432972 457026 685539 914052 1371078 2056617 2742156 4113234 8226468