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10222212220 = 22511711275153
BaseRepresentation
bin10011000010100101…
…01001010001111100
3222101101220011222121
421201102221101330
5131413341242340
64410201252324
7511213240663
oct114122512174
928341804877
1010222212220
114376199380
121b934940a4
13c6ba50aac
146cd887dda
153ec65394a
hex2614a947c

10222212220 has 96 divisors (see below), whose sum is σ = 23939629056. Its totient is φ = 3635251200.

The previous prime is 10222212193. The next prime is 10222212223. The reversal of 10222212220 is 2221222201.

It is a junction number, because it is equal to n+sod(n) for n = 10222212194 and 10222212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981164 + ... + 1986316.

It is an arithmetic number, because the mean of its divisors is an integer number (249371136).

Almost surely, 210222212220 is an apocalyptic number.

10222212220 is a gapful number since it is divisible by the number (10) 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 10222212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969814528).

10222212220 is an abundant number, since it is smaller than the sum of its proper divisors (13717416836).

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

10222212220 is a wasteful number, since it uses less digits than its factorization.

10222212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5369 counting only the distinct ones).

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

Adding to 10222212220 its reverse (2221222201), we get a palindrome (12443434421).

The spelling of 10222212220 in words is "ten billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 127 142 220 254 284 355 508 635 710 781 1270 1397 1420 1562 2540 2794 3124 3905 5153 5588 6985 7810 9017 10306 13970 15620 18034 20612 25765 27940 36068 45085 51530 56683 90170 99187 103060 113366 180340 198374 226732 283415 365863 396748 495935 566830 654431 731726 991870 1133660 1308862 1463452 1829315 1983740 2617724 3272155 3658630 4024493 6544310 7198741 7317260 8048986 13088620 14397482 16097972 20122465 28794964 35993705 40244930 46464601 71987410 80489860 92929202 143974820 185858404 232323005 464646010 511110611 929292020 1022221222 2044442444 2555553055 5111106110 10222212220