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61188228 = 22324633671
BaseRepresentation
bin1110100101101…
…0100010000100
311021010200110200
43221122202010
5111131010403
610023250500
71342043223
oct351324204
9137120420
1061188228
11315a2692
12185a9a30
13c8a4a6a
1481aacba
155589ca3
hex3a5a884

61188228 has 36 divisors (see below), whose sum is σ = 155046528. Its totient is φ = 20346480.

The previous prime is 61188221. The next prime is 61188233. The reversal of 61188228 is 82288116.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61188192 and 61188201.

It is not an unprimeable number, because it can be changed into a prime (61188221) 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 11 ways as a sum of consecutive naturals, for example, 14833 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (4306848).

Almost surely, 261188228 is an apocalyptic number.

It is an amenable number.

61188228 is an abundant number, since it is smaller than the sum of its proper divisors (93858300).

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

61188228 is a wasteful number, since it uses less digits than its factorization.

61188228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4139 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 61188228 is about 7822.2904574044. The cubic root of 61188228 is about 394.0541981838.

Adding to 61188228 its product of digits (12288), we get a triangular number (61200516 = T11063).

It can be divided in two parts, 61188 and 228, that added together give a palindrome (61416).

The spelling of 61188228 in words is "sixty-one million, one hundred eighty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 463 926 1389 1852 2778 3671 4167 5556 7342 8334 11013 14684 16668 22026 33039 44052 66078 132156 1699673 3399346 5099019 6798692 10198038 15297057 20396076 30594114 61188228