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55022160 = 2435713229
BaseRepresentation
bin1101000111100…
…1001001010000
310211112102012210
43101321021100
5103041202120
65243152120
71235452314
oct321711120
9124472183
1055022160
1129070a66
1216515640
13b5262bb
147443b44
154c6cce0
hex3479250

55022160 has 80 divisors (see below), whose sum is σ = 173024640. Its totient is φ = 14461440.

The previous prime is 55022159. The next prime is 55022167. The reversal of 55022160 is 6122055.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55022167) by changing a digit.

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, 15426 + ... + 18654.

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

Almost surely, 255022160 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 55022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

55022160 is an abundant number, since it is smaller than the sum of its proper divisors (118002480).

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

55022160 is a wasteful number, since it uses less digits than its factorization.

55022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55022160 is about 7417.6923635319. The cubic root of 55022160 is about 380.3463140221.

The spelling of 55022160 in words is "fifty-five million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3229 3408 4260 5680 6458 8520 9687 12916 16145 17040 19374 25832 32290 38748 48435 51664 64580 77496 96870 129160 154992 193740 229259 258320 387480 458518 687777 774960 917036 1146295 1375554 1834072 2292590 2751108 3438885 3668144 4585180 5502216 6877770 9170360 11004432 13755540 18340720 27511080 55022160