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22215620 = 2257222669
BaseRepresentation
bin101010010111…
…1101111000100
31112210200002202
41110233233010
521141344440
62112054032
7356554400
oct124575704
945720082
1022215620
11115a3a19
127534318
1347aaa4b
142d44100
151e3c615
hex152fbc4

22215620 has 36 divisors (see below), whose sum is σ = 54271980. Its totient is φ = 7616448.

The previous prime is 22215607. The next prime is 22215629. The reversal of 22215620 is 2651222.

It can be written as a sum of positive squares in 2 ways, for example, as 16144324 + 6071296 = 4018^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22215592 and 22215601.

It is not an unprimeable number, because it can be changed into a prime (22215629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10355 + ... + 12314.

It is an arithmetic number, because the mean of its divisors is an integer number (1507555).

Almost surely, 222215620 is an apocalyptic number.

22215620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22215620 is an abundant number, since it is smaller than the sum of its proper divisors (32056360).

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

22215620 is a wasteful number, since it uses less digits than its factorization.

22215620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22692 (or 22683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22215620 is about 4713.3448844743. The cubic root of 22215620 is about 281.1163763600.

Adding to 22215620 its reverse (2651222), we get a palindrome (24866842).

The spelling of 22215620 in words is "twenty-two million, two hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 22669 45338 90676 113345 158683 226690 317366 453380 634732 793415 1110781 1586830 2221562 3173660 4443124 5553905 11107810 22215620