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22202312020 = 2257718925097
BaseRepresentation
bin10100101011010111…
…000110010101010100
32010022022120022101121
4110223113012111110
5330432242441040
614111040333324
71414123352440
oct245327062524
963268508347
1022202312020
1194636986a9
124377614244
13212aa38745
1411089a5820
1589e292c4a
hex52b5c6554

22202312020 has 96 divisors (see below), whose sum is σ = 54645373440. Its totient is φ = 7420385280.

The previous prime is 22202312009. The next prime is 22202312023. The reversal of 22202312020 is 2021320222.

It is a junction number, because it is equal to n+sod(n) for n = 22202311985 and 22202312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202312023) 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 31 ways as a sum of consecutive naturals, for example, 872112 + ... + 897208.

It is an arithmetic number, because the mean of its divisors is an integer number (569222640).

Almost surely, 222202312020 is an apocalyptic number.

22202312020 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 22202312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322686720).

22202312020 is an abundant number, since it is smaller than the sum of its proper divisors (32443061420).

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

22202312020 is a wasteful number, since it uses less digits than its factorization.

22202312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22202312020 its reverse (2021320222), we get a palindrome (24223632242).

The spelling of 22202312020 in words is "twenty-two billion, two hundred two million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 89 140 142 178 284 355 356 445 497 623 710 890 994 1246 1420 1780 1988 2485 2492 3115 4970 6230 6319 9940 12460 12638 25097 25276 31595 44233 50194 63190 88466 100388 125485 126380 175679 176932 221165 250970 351358 442330 501940 702716 878395 884660 1756790 1781887 2233633 3513580 3563774 4467266 7127548 8909435 8934532 11168165 12473209 15635431 17818870 22336330 24946418 31270862 35637740 44672660 49892836 62366045 62541724 78177155 124732090 156354310 158587943 249464180 312708620 317175886 634351772 792939715 1110115601 1585879430 2220231202 3171758860 4440462404 5550578005 11101156010 22202312020