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55217214 = 23413157167
BaseRepresentation
bin1101001010100…
…0110000111110
310211220022210000
43102220300332
5103113422324
65251255130
71240224063
oct322506076
9124808700
1055217214
1129194568
12165aa4a6
13b594010
147494c6a
154caa9c9
hex34a8c3e

55217214 has 80 divisors (see below), whose sum is σ = 134896608. Its totient is φ = 16780608.

The previous prime is 55217213. The next prime is 55217219. The reversal of 55217214 is 41271255.

55217214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55217213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330559 + ... + 330725.

Almost surely, 255217214 is an apocalyptic number.

55217214 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 55217214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67448304).

55217214 is an abundant number, since it is smaller than the sum of its proper divisors (79679394).

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

55217214 is a wasteful number, since it uses less digits than its factorization.

55217214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 55217214 is about 7430.8286213585. The cubic root of 55217214 is about 380.7952275533.

Adding to 55217214 its reverse (41271255), we get a palindrome (96488469).

It can be divided in two parts, 552 and 17214, that added together give a triangular number (17766 = T188).

The spelling of 55217214 in words is "fifty-five million, two hundred seventeen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 157 162 167 234 314 334 351 471 501 702 942 1002 1053 1413 1503 2041 2106 2171 2826 3006 4082 4239 4342 4509 6123 6513 8478 9018 12246 12717 13026 13527 18369 19539 25434 26219 27054 36738 39078 52438 55107 58617 78657 110214 117234 157314 165321 175851 235971 330642 340847 351702 471942 681694 707913 1022541 1415826 2045082 2123739 3067623 4247478 6135246 9202869 18405738 27608607 55217214