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22211221220 = 22529239160231
BaseRepresentation
bin10100101011111001…
…000101011011100100
32010022221022221111222
4110223321011123210
5330442033034340
614111555315512
71414262156666
oct245371053344
963287287458
1022211221220
119468723281
12437a5abb98
13212c837966
141109c44536
1589ee528b5
hex52be456e4

22211221220 has 48 divisors (see below), whose sum is σ = 48454156800. Its totient is φ = 8542181760.

The previous prime is 22211221211. The next prime is 22211221229. The reversal of 22211221220 is 2212211222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22211221211) and next prime (22211221229).

It is not an unprimeable number, because it can be changed into a prime (22211221229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58505 + ... + 218735.

It is an arithmetic number, because the mean of its divisors is an integer number (1009461600).

Almost surely, 222211221220 is an apocalyptic number.

22211221220 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 22211221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227078400).

22211221220 is an abundant number, since it is smaller than the sum of its proper divisors (26242935580).

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

22211221220 is a wasteful number, since it uses less digits than its factorization.

22211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160508 (or 160506 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22211221220 its reverse (2212211222), we get a palindrome (24423432442).

The spelling of 22211221220 in words is "twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 239 290 478 580 956 1195 2390 4780 6931 13862 27724 34655 69310 138620 160231 320462 640924 801155 1602310 3204620 4646699 9293398 18586796 23233495 38295209 46466990 76590418 92933980 153180836 191476045 382952090 765904180 1110561061 2221122122 4442244244 5552805305 11105610610 22211221220