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22420014400 = 265272001787
BaseRepresentation
bin10100111000010101…
…100100010101000000
32010212111012201220201
4110320111210111000
5331404010430100
614144414414544
71422405656320
oct247025442500
963774181821
1022420014400
119565571723
124418501454
132163b80414
141129875280
158b344736a
hex538564540

22420014400 has 84 divisors (see below), whose sum is σ = 63048314848. Its totient is φ = 7686858240.

The previous prime is 22420014329. The next prime is 22420014413. The reversal of 22420014400 is 441002422.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 989694 + ... + 1012093.

Almost surely, 222420014400 is an apocalyptic number.

22420014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420014400 is an abundant number, since it is smaller than the sum of its proper divisors (40628300448).

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

22420014400 is a wasteful number, since it uses less digits than its factorization.

22420014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001816 (or 2001801 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22420014400 its reverse (441002422), we get a palindrome (22861016822).

The spelling of 22420014400 in words is "twenty-two billion, four hundred twenty million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 2001787 4003574 8007148 10008935 14012509 16014296 20017870 28025018 32028592 40035740 50044675 56050036 64057184 70062545 80071480 100089350 112100072 128114368 140125090 160142960 200178700 224200144 280250180 320285920 350312725 400357400 448400288 560500360 640571840 700625450 800714800 896800576 1121000720 1401250900 1601429600 2242001440 2802501800 3202859200 4484002880 5605003600 11210007200 22420014400