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20233214320 = 2451127318419
BaseRepresentation
bin10010110101111111…
…100101100101110000
31221020002100210011011
4102311333211211300
5312414200324240
613143420000304
71314253325014
oct226577454560
957202323134
1020233214320
118643138430
123b08090094
131ba5ac0c87
14d9d272544
157d64866ea
hex4b5fe5970

20233214320 has 80 divisors (see below), whose sum is σ = 51343678080. Its totient is φ = 7353964800.

The previous prime is 20233214317. The next prime is 20233214329. The reversal of 20233214320 is 2341233202.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20233214291 and 20233214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233214329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399071 + ... + 2407489.

It is an arithmetic number, because the mean of its divisors is an integer number (641795976).

Almost surely, 220233214320 is an apocalyptic number.

20233214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20233214320 is an abundant number, since it is smaller than the sum of its proper divisors (31110463760).

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

20233214320 is a wasteful number, since it uses less digits than its factorization.

20233214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20233214320 its reverse (2341233202), we get a palindrome (22574447522).

The spelling of 20233214320 in words is "twenty billion, two hundred thirty-three million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2731 5462 8419 10924 13655 16838 21848 27310 30041 33676 42095 43696 54620 60082 67352 84190 92609 109240 120164 134704 150205 168380 185218 218480 240328 300410 336760 370436 463045 480656 600820 673520 740872 926090 1201640 1481744 1852180 2403280 3704360 7408720 22992289 45984578 91969156 114961445 183938312 229922890 252915179 367876624 459845780 505830358 919691560 1011660716 1264575895 1839383120 2023321432 2529151790 4046642864 5058303580 10116607160 20233214320