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56228214 = 23717611291
BaseRepresentation
bin1101011001111…
…1100101110110
310220210200121110
43112133211312
5103343300324
65325055450
71251634440
oct326374566
9126720543
1056228214
11298150a9
12169b7586
13b859243
147679490
154e0a329
hex359f976

56228214 has 64 divisors (see below), whose sum is σ = 138419712. Its totient is φ = 14860800.

The previous prime is 56228191. The next prime is 56228233. The reversal of 56228214 is 41282265.

It is a super-3 number, since 3×562282143 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42909 + ... + 44199.

It is an arithmetic number, because the mean of its divisors is an integer number (2162808).

Almost surely, 256228214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56228214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209856).

56228214 is an abundant number, since it is smaller than the sum of its proper divisors (82191498).

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

56228214 is a wasteful number, since it uses less digits than its factorization.

56228214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its digits is 7680, while the sum is 30.

The square root of 56228214 is about 7498.5474593417. The cubic root of 56228214 is about 383.1052436839.

The spelling of 56228214 in words is "fifty-six million, two hundred twenty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 61 102 119 122 183 238 357 366 427 714 854 1037 1281 1291 2074 2562 2582 3111 3873 6222 7259 7746 9037 14518 18074 21777 21947 27111 43554 43894 54222 65841 78751 131682 153629 157502 236253 307258 460887 472506 551257 921774 1102514 1338767 1653771 2677534 3307542 4016301 8032602 9371369 18742738 28114107 56228214