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220022440 = 235111014951
BaseRepresentation
bin11010001110101…
…00011010101000
3120100000022001021
431013110122220
5422311204230
633455502224
75311105561
oct1507243250
9510008037
10220022440
11103219130
1261827974
13367779c1
1421315168
15144b1c7a
hexd1d46a8

220022440 has 64 divisors (see below), whose sum is σ = 545512320. Its totient is φ = 79200000.

The previous prime is 220022419. The next prime is 220022447. The reversal of 220022440 is 44220022.

It is not an unprimeable number, because it can be changed into a prime (220022447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41965 + ... + 46915.

It is an arithmetic number, because the mean of its divisors is an integer number (8523630).

Almost surely, 2220022440 is an apocalyptic number.

220022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272756160).

220022440 is an abundant number, since it is smaller than the sum of its proper divisors (325489880).

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

220022440 is a wasteful number, since it uses less digits than its factorization.

220022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220022440 is about 14833.1534071485. The cubic root of 220022440 is about 603.7015981385.

Adding to 220022440 its reverse (44220022), we get a palindrome (264242462).

It can be divided in two parts, 22002 and 2440, that added together give a palindrome (24442).

The spelling of 220022440 in words is "two hundred twenty million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 4951 5555 8888 9902 11110 19804 22220 24755 39608 44440 49510 54461 99020 108922 198040 217844 272305 435688 500051 544610 1000102 1089220 2000204 2178440 2500255 4000408 5000510 5500561 10001020 11001122 20002040 22002244 27502805 44004488 55005610 110011220 220022440