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22002224420 = 22511412719001
BaseRepresentation
bin10100011111011011…
…110100110100100100
32002210101001210210202
4110133123310310210
5330030032140140
614035132010032
71406143551611
oct243733646444
962711053722
1022002224420
119370755950
124320600918
1320c8450607
1410ca19d508
1588b91c915
hex51f6f4d24

22002224420 has 96 divisors (see below), whose sum is σ = 51830779392. Its totient is φ = 7776000000.

The previous prime is 22002224407. The next prime is 22002224437. The reversal of 22002224420 is 2442220022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22002224392 and 22002224401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439920 + ... + 2448920.

It is an arithmetic number, because the mean of its divisors is an integer number (539903952).

Almost surely, 222002224420 is an apocalyptic number.

22002224420 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 22002224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915389696).

22002224420 is an abundant number, since it is smaller than the sum of its proper divisors (29828554972).

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

22002224420 is a wasteful number, since it uses less digits than its factorization.

22002224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22002224420 its reverse (2442220022), we get a palindrome (24444444442).

It can be divided in two parts, 220022 and 24420, that added together give a palindrome (244442).

The spelling of 22002224420 in words is "twenty-two billion, two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9001 9020 11111 11924 14905 18002 22222 29810 36004 44444 45005 55555 59620 90010 99011 111110 122221 180020 198022 222220 244442 369041 396044 488884 495055 611105 738082 990110 1222210 1476164 1845205 1980220 2439271 2444420 3690410 4059451 4878542 7380820 8118902 9757084 12196355 16237804 20297255 24392710 26831981 40594510 48785420 53663962 81189020 100010111 107327924 134159905 200020222 268319810 400040444 500050555 536639620 1000101110 1100111221 2000202220 2200222442 4400444884 5500556105 11001112210 22002224420