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22201010220 = 22353123515077
BaseRepresentation
bin10100101011010010…
…001000100000101100
32010022020010011122210
4110223102020200230
5330431424311340
614110552410420
71414106321214
oct245322104054
963266104583
1022201010220
119462989634
1243770a6a10
13212a6a104c
141108747244
1589e0d7180
hex52b48882c

22201010220 has 96 divisors (see below), whose sum is σ = 64208019456. Its totient is φ = 5725728000.

The previous prime is 22201010219. The next prime is 22201010257. The reversal of 22201010220 is 2201010222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22201010196 and 22201010205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4370322 + ... + 4375398.

It is an arithmetic number, because the mean of its divisors is an integer number (668833536).

Almost surely, 222201010220 is an apocalyptic number.

22201010220 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 22201010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104009728).

22201010220 is an abundant number, since it is smaller than the sum of its proper divisors (42007009236).

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

22201010220 is a wasteful number, since it uses less digits than its factorization.

22201010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22201010220 its reverse (2201010222), we get a palindrome (24402020442).

The spelling of 22201010220 in words is "twenty-two billion, two hundred one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2351 4702 5077 7053 9404 10154 11755 14106 15231 20308 23510 25385 28212 30462 35265 47020 50770 60924 70530 72881 76155 101540 141060 145762 152310 157387 218643 291524 304620 314774 364405 437286 472161 629548 728810 786935 874572 944322 1093215 1457620 1573870 1888644 2186430 2360805 3147740 4372860 4721610 9443220 11936027 23872054 35808081 47744108 59680135 71616162 119360270 143232324 179040405 238720540 358080810 370016837 716161620 740033674 1110050511 1480067348 1850084185 2220101022 3700168370 4440202044 5550252555 7400336740 11100505110 22201010220