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22221930 = 235732139
BaseRepresentation
bin101010011000…
…1010001101010
31112210222202110
41110301101222
521142100210
62112143150
7356611653
oct124612152
945728673
1022221930
11115a8735
127537ab6
1347b0893
142d4652a
151e3e420
hex153146a

22221930 has 48 divisors (see below), whose sum is σ = 54462240. Its totient is φ = 5802624.

The previous prime is 22221911. The next prime is 22221949. The reversal of 22221930 is 3912222.

It is an interprime number because it is at equal distance from previous prime (22221911) and next prime (22221949).

It is a junction number, because it is equal to n+sod(n) for n = 22221897 and 22221906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159801 + ... + 159939.

It is an arithmetic number, because the mean of its divisors is an integer number (1134630).

Almost surely, 222221930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231120).

22221930 is an abundant number, since it is smaller than the sum of its proper divisors (32240310).

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

22221930 is a wasteful number, since it uses less digits than its factorization.

22221930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22221930 is about 4714.0142129612. The cubic root of 22221930 is about 281.1429894130.

The spelling of 22221930 in words is "twenty-two million, two hundred twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 139 146 219 278 365 417 438 695 730 834 1095 1390 2085 2190 4170 5329 10147 10658 15987 20294 26645 30441 31974 50735 53290 60882 79935 101470 152205 159870 304410 740731 1481462 2222193 3703655 4444386 7407310 11110965 22221930