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22442420202440 = 2357286771131959
BaseRepresentation
bin1010001101001010010000…
…11110111110101111001000
32221110110210211222021201112
411012211020132332233020
510420144034032434230
6115421523331305452
74504261044136400
oct506451036765710
987413724867645
1022442420202440
11717286014a167
1226255a914b288
13c6a407778c34
1457830ca79800
1528dba395ad95
hex1469487bebc8

22442420202440 has 96 divisors (see below), whose sum is σ = 58740721905600. Its totient is φ = 7694397083520.

The previous prime is 22442420202437. The next prime is 22442420202457. The reversal of 22442420202440 is 4420202424422.

It is a junction number, because it is equal to n+sod(n) for n = 22442420202397 and 22442420202406.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 170005181 + ... + 170137139.

It is an arithmetic number, because the mean of its divisors is an integer number (611882519850).

Almost surely, 222442420202440 is an apocalyptic number.

22442420202440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442420202440 is an abundant number, since it is smaller than the sum of its proper divisors (36298301703160).

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

22442420202440 is a wasteful number, since it uses less digits than its factorization.

22442420202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218755 (or 218744 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 22442420202440 its reverse (4420202424422), we get a palindrome (26862622626862).

The spelling of 22442420202440 in words is "twenty-two trillion, four hundred forty-two billion, four hundred twenty million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 86771 131959 173542 263918 347084 433855 527836 607397 659795 694168 867710 923713 1055672 1214794 1319590 1735420 1847426 2429588 2639180 3036985 3470840 3694852 4251779 4618565 4859176 5278360 6073970 6465991 7389704 8503558 9237130 12147940 12931982 17007116 18474260 21258895 24295880 25863964 32329955 34014232 36948520 42517790 51727928 64659910 85035580 129319820 170071160 258639640 11450214389 22900428778 45800857556 57251071945 80151500723 91601715112 114502143890 160303001446 229004287780 320606002892 400757503615 458008575560 561060505061 641212005784 801515007230 1122121010122 1603030014460 2244242020244 2805302525305 3206060028920 4488484040488 5610605050610 11221210101220 22442420202440