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22211014440 = 23351923894759
BaseRepresentation
bin10100101011111000…
…010010111100101000
32010022220221102212110
4110223320102330220
5330442004430230
614111551042320
71414260336066
oct245370227450
963286842773
1022211014440
1194685a198a
12437a5103a0
13212c7947c4
141109bcd036
1589ee114b0
hex52be12f28

22211014440 has 256 divisors, whose sum is σ = 74027520000. Its totient is φ = 5305817088.

The previous prime is 22211014433. The next prime is 22211014457. The reversal of 22211014440 is 4441011222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4664781 + ... + 4669539.

It is an arithmetic number, because the mean of its divisors is an integer number (289170000).

Almost surely, 222211014440 is an apocalyptic number.

22211014440 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 22211014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

22211014440 is an abundant number, since it is smaller than the sum of its proper divisors (51816505560).

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

22211014440 is a wasteful number, since it uses less digits than its factorization.

22211014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22211014440 its reverse (4441011222), we get a palindrome (26652025662).

The spelling of 22211014440 in words is "twenty-two billion, two hundred eleven million, fourteen thousand, four hundred forty".