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22220440 = 2351124591
BaseRepresentation
bin101010011000…
…0111010011000
31112210220201021
41110300322120
521142023230
62112132224
7356604424
oct124607230
945726637
1022220440
11115a7600
127537074
1347accb8
142d45b84
151e3dc7a
hex1530e98

22220440 has 48 divisors (see below), whose sum is σ = 54966240. Its totient is φ = 8078400.

The previous prime is 22220431. The next prime is 22220447. The reversal of 22220440 is 4402222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220447) 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 11 ways as a sum of consecutive naturals, for example, 2545 + ... + 7135.

It is an arithmetic number, because the mean of its divisors is an integer number (1145130).

Almost surely, 222220440 is an apocalyptic number.

22220440 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 22220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483120).

22220440 is an abundant number, since it is smaller than the sum of its proper divisors (32745800).

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

22220440 is a wasteful number, since it uses less digits than its factorization.

22220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4609 counting only the distinct ones).

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

The square root of 22220440 is about 4713.8561709072. The cubic root of 22220440 is about 281.1367056441.

Adding to 22220440 its reverse (4402222), we get a palindrome (26622662).

The spelling of 22220440 in words is "twenty-two million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4591 4840 9182 18364 22955 36728 45910 50501 91820 101002 183640 202004 252505 404008 505010 555511 1010020 1111022 2020040 2222044 2777555 4444088 5555110 11110220 22220440