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55223160 = 23353071499
BaseRepresentation
bin1101001010101…
…0001101111000
310211220121221020
43102222031320
5103114120120
65251342440
71240250316
oct322521570
9124817836
1055223160
1129198a83
12165b1a20
13b596935
1474970b6
154cac640
hex34aa378

55223160 has 64 divisors (see below), whose sum is σ = 166320000. Its totient is φ = 14668416.

The previous prime is 55223159. The next prime is 55223173. The reversal of 55223160 is 6132255.

55223160 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55223160.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36091 + ... + 37589.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 255223160 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 55223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160000).

55223160 is an abundant number, since it is smaller than the sum of its proper divisors (111096840).

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

55223160 is a wasteful number, since it uses less digits than its factorization.

55223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 55223160 is about 7431.2287005582. The cubic root of 55223160 is about 380.8088955564.

The spelling of 55223160 in words is "fifty-five million, two hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1499 1535 1842 2456 2998 3070 3684 4497 4605 5996 6140 7368 7495 8994 9210 11992 12280 14990 17988 18420 22485 29980 35976 36840 44970 59960 89940 179880 460193 920386 1380579 1840772 2300965 2761158 3681544 4601930 5522316 6902895 9203860 11044632 13805790 18407720 27611580 55223160