Search a number
-
+
212287056 = 24323375197
BaseRepresentation
bin11001010011100…
…11111001010000
3112210110022002120
430221303321100
5413321141211
633022014240
75155260462
oct1451637120
9483408076
10212287056
11a9915453
125b117380
1334c99b57
14202a0132
1513984d06
hexca73e50

212287056 has 80 divisors (see below), whose sum is σ = 587831424. Its totient is φ = 65843712.

The previous prime is 212287051. The next prime is 212287063. The reversal of 212287056 is 650782212.

212287056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212287051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38250 + ... + 43446.

Almost surely, 2212287056 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 212287056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293915712).

212287056 is an abundant number, since it is smaller than the sum of its proper divisors (375544368).

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

212287056 is a wasteful number, since it uses less digits than its factorization.

212287056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 212287056 is about 14570.0739874580. The cubic root of 212287056 is about 596.5421998663.

The spelling of 212287056 in words is "two hundred twelve million, two hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 5197 6808 10212 10394 13616 15591 20424 20788 31182 40848 41576 62364 83152 119531 124728 192289 239062 249456 358593 384578 478124 576867 717186 769156 956248 1153734 1434372 1538312 1912496 2307468 2868744 3076624 4422647 4614936 5737488 8845294 9229872 13267941 17690588 26535882 35381176 53071764 70762352 106143528 212287056