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22213220 = 2251779827
BaseRepresentation
bin101010010111…
…1001001100100
31112210112210212
41110233021210
521141310340
62112034552
7356544401
oct124571144
945715725
1022213220
11115a2137
127532a58
1347a9923
142d432a8
151e3ba65
hex152f264

22213220 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 8246784.

The previous prime is 22213183. The next prime is 22213259. The reversal of 22213220 is 2231222.

It is a junction number, because it is equal to n+sod(n) for n = 22213195 and 22213204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26447 + ... + 27273.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 222213220 is an apocalyptic number.

22213220 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 22213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

22213220 is an abundant number, since it is smaller than the sum of its proper divisors (27864220).

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

22213220 is a wasteful number, since it uses less digits than its factorization.

22213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22213220 is about 4713.0902813335. The cubic root of 22213220 is about 281.1062527983.

Adding to 22213220 its reverse (2231222), we get a palindrome (24444442).

The spelling of 22213220 in words is "twenty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 827 1343 1580 1654 2686 3308 4135 5372 6715 8270 13430 14059 16540 26860 28118 56236 65333 70295 130666 140590 261332 281180 326665 653330 1110661 1306660 2221322 4442644 5553305 11106610 22213220