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20223322320 = 2435142958967
BaseRepresentation
bin10010110101011001…
…110110100011010000
31221012101202012212210
4102311121312203100
5312404132303240
613142423552120
71314103255245
oct226531664320
957171665783
1020223322320
1186385a1423
123b048bb640
131ba3a39616
14d9bc195cc
157d5680780
hex4b56768d0

20223322320 has 80 divisors (see below), whose sum is σ = 62737234560. Its totient is φ = 5389020672.

The previous prime is 20223322319. The next prime is 20223322321. The reversal of 20223322320 is 2322332202.

It is an interprime number because it is at equal distance from previous prime (20223322319) and next prime (20223322321).

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

It is a super-2 number, since 2×202233223202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313477 + ... + 372443.

It is an arithmetic number, because the mean of its divisors is an integer number (784215432).

Almost surely, 220223322320 is an apocalyptic number.

20223322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20223322320 is an abundant number, since it is smaller than the sum of its proper divisors (42513912240).

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

20223322320 is a wasteful number, since it uses less digits than its factorization.

20223322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60412 (or 60406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 20223322320 its reverse (2322332202), we get a palindrome (22545654522).

The spelling of 20223322320 in words is "twenty billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1429 2858 4287 5716 7145 8574 11432 14290 17148 21435 22864 28580 34296 42870 57160 58967 68592 85740 114320 117934 171480 176901 235868 294835 342960 353802 471736 589670 707604 884505 943472 1179340 1415208 1769010 2358680 2830416 3538020 4717360 7076040 14152080 84263843 168527686 252791529 337055372 421319215 505583058 674110744 842638430 1011166116 1263957645 1348221488 1685276860 2022332232 2527915290 3370553720 4044664464 5055830580 6741107440 10111661160 20223322320