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61222160 = 2451017577
BaseRepresentation
bin1110100110001…
…0110100010000
311021012102000102
43221202310100
5111133102120
610024111532
71342244156
oct351426420
9137172012
1061222160
113161612a
12186055a8
13c8b733c
1481b93d6
155594d75
hex3a62d10

61222160 has 40 divisors (see below), whose sum is σ = 143769816. Its totient is φ = 24243200.

The previous prime is 61222141. The next prime is 61222169. The reversal of 61222160 is 6122216.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 57093136 = 2032^2 + 7556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (61222169) 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 7 ways as a sum of consecutive naturals, for example, 4292 + ... + 11868.

Almost surely, 261222160 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 61222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884908).

61222160 is an abundant number, since it is smaller than the sum of its proper divisors (82547656).

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

61222160 is a wasteful number, since it uses less digits than its factorization.

61222160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 61222160 is about 7824.4590867356. The cubic root of 61222160 is about 394.1270257881.

Adding to 61222160 its reverse (6122216), we get a palindrome (67344376).

The spelling of 61222160 in words is "sixty-one million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 7577 8080 15154 30308 37885 60616 75770 121232 151540 303080 606160 765277 1530554 3061108 3826385 6122216 7652770 12244432 15305540 30611080 61222160