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22014440300 = 22521731797109
BaseRepresentation
bin10100100000001010…
…011011001101101100
32002211020001102211202
4110200022123031230
5330041144042200
614040245505032
71406352440456
oct244012331554
962736042752
1022014440300
119377639916
124324712178
1320cab39948
1410cba5d2d6
1588ca321d5
hex52029b36c

22014440300 has 72 divisors (see below), whose sum is σ = 48322688400. Its totient is φ = 8704741120.

The previous prime is 22014440263. The next prime is 22014440311. The reversal of 22014440300 is 304441022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093146 + ... + 3100254.

It is an arithmetic number, because the mean of its divisors is an integer number (671148450).

Almost surely, 222014440300 is an apocalyptic number.

22014440300 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 22014440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24161344200).

22014440300 is an abundant number, since it is smaller than the sum of its proper divisors (26308248100).

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

22014440300 is a wasteful number, since it uses less digits than its factorization.

22014440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22014440300 its reverse (304441022), we get a palindrome (22318881322).

The spelling of 22014440300 in words is "twenty-two billion, fourteen million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 179 346 358 692 716 865 895 1730 1790 3460 3580 4325 4475 7109 8650 8950 14218 17300 17900 28436 30967 35545 61934 71090 123868 142180 154835 177725 309670 355450 619340 710900 774175 1229857 1272511 1548350 2459714 2545022 3096700 4919428 5090044 6149285 6362555 12298570 12725110 24597140 25450220 30746425 31812775 61492850 63625550 122985700 127251100 220144403 440288806 880577612 1100722015 2201444030 4402888060 5503610075 11007220150 22014440300