Search a number
-
+
62220416 = 272412017
BaseRepresentation
bin1110110101011…
…0100010000000
311100002010100212
43231112202000
5111412023131
610101333252
71353602426
oct355264200
9140063325
1062220416
1132138135
1218a07228
13cb7681b
148399116
1556e0a2b
hex3b56880

62220416 has 32 divisors (see below), whose sum is σ = 124530780. Its totient is φ = 30965760.

The previous prime is 62220413. The next prime is 62220437. The reversal of 62220416 is 61402226.

It can be written as a sum of positive squares in 2 ways, for example, as 55950400 + 6270016 = 7480^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 62220391 and 62220400.

It is not an unprimeable number, because it can be changed into a prime (62220413) 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 3 ways as a sum of consecutive naturals, for example, 29840 + ... + 31856.

Almost surely, 262220416 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 62220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62265390).

62220416 is an abundant number, since it is smaller than the sum of its proper divisors (62310364).

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

62220416 is a wasteful number, since it uses less digits than its factorization.

62220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 62220416 is about 7887.9918864056. The cubic root of 62220416 is about 396.2576291790.

The spelling of 62220416 in words is "sixty-two million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 241 482 964 1928 2017 3856 4034 7712 8068 15424 16136 30848 32272 64544 129088 258176 486097 972194 1944388 3888776 7777552 15555104 31110208 62220416