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226416996 = 2232131925463
BaseRepresentation
bin11010111111011…
…01100101100100
3120210001011201200
431133231211210
5430430320441
634244522500
75416340601
oct1537554544
9523034650
10226416996
11106896493
12639b0430
1337ba6470
14220db6a8
1514d267b6
hexd7ed964

226416996 has 72 divisors (see below), whose sum is σ = 648822720. Its totient is φ = 65997504.

The previous prime is 226416989. The next prime is 226417027. The reversal of 226416996 is 699614622.

226416996 is a `hidden beast` number, since 226 + 416 + 9 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3840 + ... + 21623.

Almost surely, 2226416996 is an apocalyptic number.

226416996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226416996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324411360).

226416996 is an abundant number, since it is smaller than the sum of its proper divisors (422405724).

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

226416996 is a wasteful number, since it uses less digits than its factorization.

226416996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25505 (or 25500 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 226416996 is about 15047.1590674120. The cubic root of 226416996 is about 609.4943368333.

The spelling of 226416996 in words is "two hundred twenty-six million, four hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 25463 50926 76389 101852 152778 229167 305556 331019 458334 483797 662038 916668 967594 993057 1324076 1451391 1935188 1986114 2902782 2979171 3972228 4354173 5805564 5958342 6289361 8708346 11916684 12578722 17416692 18868083 25157444 37736166 56604249 75472332 113208498 226416996