Search a number
-
+
226081296 = 2432721792
BaseRepresentation
bin11010111100110…
…11101000010000
3120202102010020100
431132123220100
5430334100141
634233412400
75413442100
oct1536335020
9522363210
10226081296
11106687251
126386a100
1337ab971c
1422051200
1514cac0b6
hexd79ba10

226081296 has 135 divisors (see below), whose sum is σ = 740148591. Its totient is φ = 64233792.

The previous prime is 226081267. The next prime is 226081301. The reversal of 226081296 is 692180622.

It is a happy number.

The square root of 226081296 is 15036.

It is a perfect power (a square), and thus also a powerful number.

226081296 is a `hidden beast` number, since 22 + 608 + 1 + 29 + 6 = 666.

226081296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260812962 = 102225504802079232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226081296.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1262935 + ... + 1263113.

Almost surely, 2226081296 is an apocalyptic number.

226081296 is the 15036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226081296

226081296 is an abundant number, since it is smaller than the sum of its proper divisors (514067295).

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

226081296 is a wasteful number, since it uses less digits than its factorization.

226081296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 226081296 is about 609.1929630303.

Multiplying 226081296 by its sum of digits (36), we get a square (8138926656 = 902162).

226081296 divided by its sum of digits (36) gives a square (6280036 = 25062).

Multiplying 226081296 by its product of nonzero digits (20736), we get a square (4688021753856 = 21651842).

The spelling of 226081296 in words is "two hundred twenty-six million, eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 179 196 252 294 336 358 392 441 504 537 588 716 784 882 1008 1074 1176 1253 1432 1611 1764 2148 2352 2506 2864 3222 3528 3759 4296 5012 6444 7056 7518 8592 8771 10024 11277 12888 15036 17542 20048 22554 25776 26313 30072 32041 35084 45108 52626 60144 64082 70168 78939 90216 96123 105252 128164 140336 157878 180432 192246 210504 224287 256328 288369 315756 384492 421008 448574 512656 576738 631512 672861 768984 897148 1153476 1263024 1345722 1537968 1570009 1794296 2018583 2306952 2691444 3140018 3588592 4037166 4613904 4710027 5382888 6280036 8074332 9420054 10765776 12560072 14130081 16148664 18840108 25120144 28260162 32297328 37680216 56520324 75360432 113040648 226081296