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42220660 = 22519137811
BaseRepresentation
bin1010000100001…
…1110001110100
32221110000212011
42201003301310
541302030120
64104534004
71021604206
oct241036164
987400764
1042220660
1121918009
1212181304
138993551
145870776
153a8ec5a
hex2843c74

42220660 has 48 divisors (see below), whose sum is σ = 94127040. Its totient is φ = 15863040.

The previous prime is 42220643. The next prime is 42220669. The reversal of 42220660 is 6602224.

42220660 = T491 + T492 + ... + T718.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220669) 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, 51655 + ... + 52465.

It is an arithmetic number, because the mean of its divisors is an integer number (1960980).

Almost surely, 242220660 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 42220660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47063520).

42220660 is an abundant number, since it is smaller than the sum of its proper divisors (51906380).

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

42220660 is a wasteful number, since it uses less digits than its factorization.

42220660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42220660 is about 6497.7426849638. The cubic root of 42220660 is about 348.2103475739.

Adding to 42220660 its reverse (6602224), we get a palindrome (48822884).

The spelling of 42220660 in words is "forty-two million, two hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 685 811 1370 1622 2603 2740 3244 4055 5206 8110 10412 13015 15409 16220 26030 30818 52060 61636 77045 111107 154090 222214 308180 444428 555535 1111070 2111033 2222140 4222066 8444132 10555165 21110330 42220660