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226384452 = 223274121911
BaseRepresentation
bin11010111111001…
…01101001000100
3120202222112002100
431133211221010
5430423300302
634244112100
75416143660
oct1537455104
9522875070
10226384452
11106873a98
1263995630
1337b946c8
14220cd8a0
1514d1bd1c
hexd7e5a44

226384452 has 72 divisors (see below), whose sum is σ = 669981312. Its totient is φ = 63100800.

The previous prime is 226384451. The next prime is 226384489. The reversal of 226384452 is 254483622.

226384452 is a `hidden beast` number, since 226 + 384 + 4 + 52 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (226384451) 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, 624 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (9305296).

Almost surely, 2226384452 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 226384452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334990656).

226384452 is an abundant number, since it is smaller than the sum of its proper divisors (443596860).

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

226384452 is a wasteful number, since it uses less digits than its factorization.

226384452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21969 (or 21964 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 226384452 is about 15046.0776284054. The cubic root of 226384452 is about 609.4651335867.

The spelling of 226384452 in words is "two hundred twenty-six million, three hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 21911 43822 65733 87644 131466 153377 197199 262932 306754 394398 460131 613508 788796 898351 920262 1380393 1796702 1840524 2695053 2760786 3593404 5390106 5521572 6288457 8085159 10780212 12576914 16170318 18865371 25153828 32340636 37730742 56596113 75461484 113192226 226384452