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220142608 = 2478292371
BaseRepresentation
bin11010001111100…
…01110000010000
3120100020101212221
431013301300100
5422324030413
633502230424
75312116120
oct1507616020
9510211787
10220142608
111032a0444
1261885414
13367ba5ca
1421346c80
15144d768d
hexd1f1c10

220142608 has 40 divisors (see below), whose sum is σ = 488252480. Its totient is φ = 94193280.

The previous prime is 220142579. The next prime is 220142609. The reversal of 220142608 is 806241022.

It is a happy number.

220142608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220142609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91663 + ... + 94033.

It is an arithmetic number, because the mean of its divisors is an integer number (12206312).

Almost surely, 2220142608 is an apocalyptic number.

220142608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220142608 is an abundant number, since it is smaller than the sum of its proper divisors (268109872).

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

220142608 is a wasteful number, since it uses less digits than its factorization.

220142608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 220142608 is about 14837.2035100958. The cubic root of 220142608 is about 603.8114845216.

The spelling of 220142608 in words is "two hundred twenty million, one hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 829 1658 2371 3316 4742 5803 6632 9484 11606 13264 16597 18968 23212 33194 37936 46424 66388 92848 132776 265552 1965559 3931118 7862236 13758913 15724472 27517826 31448944 55035652 110071304 220142608