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220220442 = 232135031871
BaseRepresentation
bin11010010000001…
…00110000011010
3120100101100122200
431020010300122
5422334023232
633504031030
75312562051
oct1510046032
9510340580
10220220442
11103343972
1261902476
1336816b70
1421367398
151450077c
hexd204c1a

220220442 has 48 divisors (see below), whose sum is σ = 515144448. Its totient is φ = 67589280.

The previous prime is 220220437. The next prime is 220220447. The reversal of 220220442 is 244022022.

220220442 is a `hidden beast` number, since 2 + 2 + 0 + 220 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (220220437) and next prime (220220447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220220447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116767 + ... + 118637.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2220220442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

220220442 is an abundant number, since it is smaller than the sum of its proper divisors (294924006).

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

220220442 is a wasteful number, since it uses less digits than its factorization.

220220442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220220442 is about 14839.8262119204. The cubic root of 220220442 is about 603.8826376797.

Adding to 220220442 its reverse (244022022), we get a palindrome (464242464).

The spelling of 220220442 in words is "two hundred twenty million, two hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 503 1006 1509 1871 3018 3742 4527 5613 6539 9054 11226 13078 16839 19617 24323 33678 39234 48646 58851 72969 117702 145938 218907 437814 941113 1882226 2823339 5646678 8470017 12234469 16940034 24468938 36703407 73406814 110110221 220220442