Search a number
-
+
226988496 = 24327673361
BaseRepresentation
bin11011000011110…
…01000111010000
3120211010012200100
431201321013100
5431102112441
634305052400
75424241020
oct1541710720
9524105610
10226988496
111071468a9
1264027100
1338046627
1422209a80
1514ddacb6
hexd8791d0

226988496 has 120 divisors (see below), whose sum is σ = 737057984. Its totient is φ = 63866880.

The previous prime is 226988441. The next prime is 226988507. The reversal of 226988496 is 694889622.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65856 + ... + 69216.

Almost surely, 2226988496 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 226988496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368528992).

226988496 is an abundant number, since it is smaller than the sum of its proper divisors (510069488).

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

226988496 is a wasteful number, since it uses less digits than its factorization.

226988496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3440 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 226988496 is about 15066.1373948335. The cubic root of 226988496 is about 610.0067149668.

The spelling of 226988496 in words is "two hundred twenty-six million, nine hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3361 3752 4221 4824 5628 6722 7504 8442 9648 10083 11256 13444 16884 20166 22512 23527 26888 30249 33768 40332 47054 53776 60498 67536 70581 80664 94108 120996 141162 161328 188216 211743 225187 241992 282324 376432 423486 450374 483984 564648 675561 846972 900748 1129296 1351122 1576309 1693944 1801496 2026683 2702244 3152618 3387888 3602992 4053366 4728927 5404488 6305236 8106732 9457854 10808976 12610472 14186781 16213464 18915708 25220944 28373562 32426928 37831416 56747124 75662832 113494248 226988496