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54002214 = 234726803
BaseRepresentation
bin1100111000000…
…0001000100110
310202121121010000
43032000020212
5102311032324
65205242130
71224003600
oct316001046
9122547100
1054002214
1128534732
1216103346
13b259c96
14725a170
154b1a9c9
hex3380226

54002214 has 60 divisors (see below), whose sum is σ = 140781564. Its totient is φ = 15426936.

The previous prime is 54002213. The next prime is 54002227. The reversal of 54002214 is 41220045.

It is a Harshad number since it is a multiple of its sum of digits (18).

54002214 is a modest number, since divided by 2214 gives 540 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54002213) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4537 + ... + 11339.

Almost surely, 254002214 is an apocalyptic number.

54002214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54002214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70390782).

54002214 is an abundant number, since it is smaller than the sum of its proper divisors (86779350).

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

54002214 is a wasteful number, since it uses less digits than its factorization.

54002214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54002214 is about 7348.6198704247. The cubic root of 54002214 is about 377.9814805742.

Adding to 54002214 its reverse (41220045), we get a palindrome (95222259).

The spelling of 54002214 in words is "fifty-four million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 6803 7938 13606 20409 40818 47621 61227 95242 122454 142863 183681 285726 333347 367362 428589 551043 666694 857178 1000041 1102086 1285767 2000082 2571534 3000123 3857301 6000246 7714602 9000369 18000738 27001107 54002214