Search a number
-
+
22122020100220 = 22519313541530339
BaseRepresentation
bin1010000011110101011110…
…01001100101100001111100
32220022211210121122200122221
411001322233021211201330
510344421344121201340
6115014414333215124
74442156165201245
oct501725711454174
986284717580587
1022122020100220
117059994699157
12259348b9314a4
13c461363c6731
145669d6461ccc
152856a034c44a
hex141eaf26587c

22122020100220 has 96 divisors (see below), whose sum is σ = 50493119846400. Its totient is φ = 8110352966400.

The previous prime is 22122020100203. The next prime is 22122020100241. The reversal of 22122020100220 is 2200102022122.

It is a junction number, because it is equal to n+sod(n) for n = 22122020100194 and 22122020100203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41447811 + ... + 41978149.

It is an arithmetic number, because the mean of its divisors is an integer number (525969998400).

Almost surely, 222122020100220 is an apocalyptic number.

22122020100220 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 22122020100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246559923200).

22122020100220 is an abundant number, since it is smaller than the sum of its proper divisors (28371099746180).

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

22122020100220 is a wasteful number, since it uses less digits than its factorization.

22122020100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533939 (or 533937 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122020100220 its reverse (2200102022122), we get a palindrome (24322122122342).

The spelling of 22122020100220 in words is "twenty-two trillion, one hundred twenty-two billion, twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 3541 5890 7082 11780 14164 17705 35410 67279 70820 109771 134558 219542 269116 336395 439084 530339 548855 672790 1060678 1097710 1345580 2085649 2121356 2195420 2651695 4171298 5303390 8342596 10076441 10428245 10606780 16440509 20152882 20856490 32881018 40305764 41712980 50382205 65762036 82202545 100764410 164405090 201528820 312369671 328810180 624739342 1249478684 1561848355 1877930399 3123696710 3755860798 6247393420 7511721596 9389651995 18779303990 35680677581 37558607980 58215842369 71361355162 116431684738 142722710324 178403387905 232863369476 291079211845 356806775810 582158423690 713613551620 1106101005011 1164316847380 2212202010022 4424404020044 5530505025055 11061010050110 22122020100220