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22082220 = 2234543317
BaseRepresentation
bin101010000111…
…1001010101100
31112112220010000
41110033022230
521123112340
62105144300
7355460436
oct124171254
945486100
1022082220
1111512776
12748b090
134762104
142d0b656
151e12d30
hex150f2ac

22082220 has 120 divisors (see below), whose sum is σ = 71107344. Its totient is φ = 5733504.

The previous prime is 22082213. The next prime is 22082257. The reversal of 22082220 is 2228022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22082193 and 22082202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69502 + ... + 69818.

Almost surely, 222082220 is an apocalyptic number.

22082220 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 22082220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35553672).

22082220 is an abundant number, since it is smaller than the sum of its proper divisors (49025124).

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

22082220 is a wasteful number, since it uses less digits than its factorization.

22082220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22082220 is about 4699.1722675382. The cubic root of 22082220 is about 280.5525652867.

The spelling of 22082220 in words is "twenty-two million, eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 317 324 387 405 430 516 540 634 645 774 810 860 951 1161 1268 1290 1548 1585 1620 1902 1935 2322 2580 2853 3170 3483 3804 3870 4644 4755 5706 5805 6340 6966 7740 8559 9510 11412 11610 13631 13932 14265 17118 17415 19020 23220 25677 27262 28530 34236 34830 40893 42795 51354 54524 57060 68155 69660 81786 85590 102708 122679 128385 136310 163572 171180 204465 245358 256770 272620 368037 408930 490716 513540 613395 736074 817860 1104111 1226790 1472148 1840185 2208222 2453580 3680370 4416444 5520555 7360740 11041110 22082220