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54142220 = 22511431571
BaseRepresentation
bin1100111010001…
…0010100001100
310202212201011102
43032202110030
5102330022340
65212242232
71225126016
oct316422414
9122781142
1054142220
112861a940
1216170378
13b2a8922
1472951b6
154b47215
hex33a250c

54142220 has 48 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 19608000.

The previous prime is 54142219. The next prime is 54142247. The reversal of 54142220 is 2224145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 54142192 and 54142201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94535 + ... + 95105.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 254142220 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 54142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

54142220 is an abundant number, since it is smaller than the sum of its proper divisors (70398196).

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

54142220 is a wasteful number, since it uses less digits than its factorization.

54142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 54142220 is about 7358.1397105518. The cubic root of 54142220 is about 378.3078499572.

Adding to 54142220 its reverse (2224145), we get a palindrome (56366365).

The spelling of 54142220 in words is "fifty-four million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 571 862 1142 1724 2155 2284 2855 4310 4741 5710 6281 8620 9482 11420 12562 18964 23705 25124 31405 47410 62810 94820 125620 246101 492202 984404 1230505 2461010 2707111 4922020 5414222 10828444 13535555 27071110 54142220