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21222120 = 233517101103
BaseRepresentation
bin101000011110…
…1001011101000
31110221012021110
41100331023220
520413101440
62034510320
7345246033
oct120751350
943835243
1021222120
1110a85547
1271353a0
13452078a
142b6601a
151ce3080
hex143d2e8

21222120 has 128 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 5222400.

The previous prime is 21222043. The next prime is 21222143. The reversal of 21222120 is 2122212.

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 = 21222096 and 21222105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205989 + ... + 206091.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 221222120 is an apocalyptic number.

21222120 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 21222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

21222120 is an abundant number, since it is smaller than the sum of its proper divisors (47517720).

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

21222120 is a wasteful number, since it uses less digits than its factorization.

21222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

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

The square root of 21222120 is about 4606.7472255378. The cubic root of 21222120 is about 276.8617259627.

Adding to 21222120 its reverse (2122212), we get a palindrome (23344332).

The spelling of 21222120 in words is "twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 103 120 136 170 202 204 206 255 303 309 340 404 408 412 505 510 515 606 618 680 808 824 1010 1020 1030 1212 1236 1515 1545 1717 1751 2020 2040 2060 2424 2472 3030 3090 3434 3502 4040 4120 5151 5253 6060 6180 6868 7004 8585 8755 10302 10403 10506 12120 12360 13736 14008 17170 17510 20604 20806 21012 25755 26265 31209 34340 35020 41208 41612 42024 51510 52015 52530 62418 68680 70040 83224 103020 104030 105060 124836 156045 176851 206040 208060 210120 249672 312090 353702 416120 530553 624180 707404 884255 1061106 1248360 1414808 1768510 2122212 2652765 3537020 4244424 5305530 7074040 10611060 21222120