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22313132020 = 22515743916187
BaseRepresentation
bin10100110001111101…
…110101111111110100
32010121001002112212001
4110301331311333310
5331144130211040
614130035505044
71416640331014
oct246175657764
963531075761
1022313132020
1195101aa383
1243a8758184
13214799a0ca
1411195b1c44
158a8d8359a
hex531f75ff4

22313132020 has 48 divisors (see below), whose sum is σ = 47266369920. Its totient is φ = 8847656064.

The previous prime is 22313132003. The next prime is 22313132029. The reversal of 22313132020 is 2023131322.

It is a super-3 number, since 3×223131320203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313132029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370367 + ... + 1386553.

It is an arithmetic number, because the mean of its divisors is an integer number (984716040).

Almost surely, 222313132020 is an apocalyptic number.

22313132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313132020 is an abundant number, since it is smaller than the sum of its proper divisors (24953237900).

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

22313132020 is a wasteful number, since it uses less digits than its factorization.

22313132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16792 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22313132020 its reverse (2023131322), we get a palindrome (24336263342).

The spelling of 22313132020 in words is "twenty-two billion, three hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 439 628 785 878 1570 1756 2195 3140 4390 8780 16187 32374 64748 68923 80935 137846 161870 275692 323740 344615 689230 1378460 2541359 5082718 7106093 10165436 12706795 14212186 25413590 28424372 35530465 50827180 71060930 142121860 1115656601 2231313202 4462626404 5578283005 11156566010 22313132020