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22300353120 = 253546459069
BaseRepresentation
bin10100110001001101…
…000110001001100000
32010120011001022111110
4110301031012021200
5331132342244440
614124501543320
71416423605523
oct246115061140
963504038443
1022300353120
119503a71401
1243a4414b40
132145144726
141117a06bba
158a7bac080
hex531346260

22300353120 has 48 divisors (see below), whose sum is σ = 70246113840. Its totient is φ = 5946760704.

The previous prime is 22300353083. The next prime is 22300353121. The reversal of 22300353120 is 2135300322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300353121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23229055 + ... + 23230014.

It is an arithmetic number, because the mean of its divisors is an integer number (1463460705).

Almost surely, 222300353120 is an apocalyptic number.

22300353120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300353120 is an abundant number, since it is smaller than the sum of its proper divisors (47945760720).

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

22300353120 is a wasteful number, since it uses less digits than its factorization.

22300353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46459087 (or 46459079 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 22300353120 its reverse (2135300322), we get a palindrome (24435653442).

The spelling of 22300353120 in words is "twenty-two billion, three hundred million, three hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46459069 92918138 139377207 185836276 232295345 278754414 371672552 464590690 557508828 696886035 743345104 929181380 1115017656 1393772070 1486690208 1858362760 2230035312 2787544140 3716725520 4460070624 5575088280 7433451040 11150176560 22300353120