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226251468 = 22351912251
BaseRepresentation
bin11010111110001…
…01001011001100
3120202201202200000
431133011023030
5430410021333
634241204300
75415051162
oct1537051314
9522652600
10226251468
11106793093
1263930690
1337b49011
1422097232
1514ce2713
hexd7c52cc

226251468 has 72 divisors (see below), whose sum is σ = 624361920. Its totient is φ = 71442000.

The previous prime is 226251461. The next prime is 226251469. The reversal of 226251468 is 864152622.

It is a happy number.

226251468 is a `hidden beast` number, since 22 + 62 + 514 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (226251461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12343 + ... + 24593.

Almost surely, 2226251468 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 226251468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312180960).

226251468 is an abundant number, since it is smaller than the sum of its proper divisors (398110452).

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

226251468 is a wasteful number, since it uses less digits than its factorization.

226251468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12275 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 226251468 is about 15041.6577543833. The cubic root of 226251468 is about 609.3457717579.

The spelling of 226251468 in words is "two hundred twenty-six million, two hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 12251 18468 24502 36753 49004 73506 110259 147012 220518 232769 330777 441036 465538 661554 698307 931076 992331 1323108 1396614 1984662 2094921 2793228 2976993 3969324 4189842 5953986 6284763 8379684 11907972 12569526 18854289 25139052 37708578 56562867 75417156 113125734 226251468