Search a number
-
+
226954056 = 23375371359
BaseRepresentation
bin11011000011100…
…00101101001000
3120211001110102210
431201300231020
5431100012211
634304225120
75424035430
oct1541605510
9524043383
10226954056
11107122a3a
126400b1a0
1338033a54
14221db2c0
1514dd09a6
hexd870b48

226954056 has 128 divisors (see below), whose sum is σ = 671846400. Its totient is φ = 62549760.

The previous prime is 226954051. The next prime is 226954067. The reversal of 226954056 is 650459622.

It is a super-2 number, since 2×2269540562 = 103016287069702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226954051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632005 + ... + 632363.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2226954056 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 226954056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335923200).

226954056 is an abundant number, since it is smaller than the sum of its proper divisors (444892344).

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

226954056 is a wasteful number, since it uses less digits than its factorization.

226954056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 226954056 is about 15064.9943909714. The cubic root of 226954056 is about 609.9758621641.

The spelling of 226954056 in words is "two hundred twenty-six million, nine hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 71 84 106 142 159 168 212 213 284 318 359 371 424 426 497 568 636 718 742 852 994 1077 1113 1272 1436 1484 1491 1704 1988 2154 2226 2513 2872 2968 2982 3763 3976 4308 4452 5026 5964 7526 7539 8616 8904 10052 11289 11928 15052 15078 19027 20104 22578 25489 26341 30104 30156 38054 45156 50978 52682 57081 60312 76108 76467 79023 90312 101956 105364 114162 133189 152216 152934 158046 178423 203912 210728 228324 266378 305868 316092 356846 399567 456648 532756 535269 611736 632184 713692 799134 1065512 1070538 1350917 1427384 1598268 2141076 2701834 3196536 4052751 4282152 5403668 8105502 9456419 10807336 16211004 18912838 28369257 32422008 37825676 56738514 75651352 113477028 226954056