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22024044224240 = 2451037309365689
BaseRepresentation
bin1010000000111110111110…
…10101010001111011110000
32212222110220111202111120112
411000133133111101323300
510341320220310133430
6114501412314200452
74432120230041042
oct500373725217360
985873814674515
1022024044224240
117021387887423
1225784a7a23128
13c39b21059916
14561d80179a92
15282d68b8d195
hex1407df551ef0

22024044224240 has 80 divisors (see below), whose sum is σ = 51710262801600. Its totient is φ = 8722869958656.

The previous prime is 22024044224201. The next prime is 22024044224267. The reversal of 22024044224240 is 4242244042022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22024044224197 and 22024044224206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60043316 + ... + 60409004.

It is an arithmetic number, because the mean of its divisors is an integer number (646378285020).

Almost surely, 222024044224240 is an apocalyptic number.

22024044224240 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 22024044224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855131400800).

22024044224240 is an abundant number, since it is smaller than the sum of its proper divisors (29686218577360).

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

22024044224240 is a wasteful number, since it uses less digits than its factorization.

22024044224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373114 (or 373108 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 22024044224240 its reverse (4242244042022), we get a palindrome (26266288266262).

The spelling of 22024044224240 in words is "twenty-two trillion, twenty-four billion, forty-four million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 7309 8240 14618 29236 36545 58472 73090 116944 146180 292360 365689 584720 731378 752827 1462756 1505654 1828445 2925512 3011308 3656890 3764135 5851024 6022616 7313780 7528270 12045232 14627560 15056540 29255120 30113080 37665967 60226160 75331934 150663868 188329835 301327736 376659670 602655472 753319340 1506638680 2672820901 3013277360 5345641802 10691283604 13364104505 21382567208 26728209010 42765134416 53456418020 106912836040 213825672080 275300552803 550601105606 1101202211212 1376502764015 2202404422424 2753005528030 4404808844848 5506011056060 11012022112120 22024044224240