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22283828 = 2272414759
BaseRepresentation
bin101010100000…
…0011000110100
31112221010122222
41111000120310
521201040303
62113341512
7360260300
oct125003064
945833588
1022283828
1111640196
127567898
134802ac8
142d60d00
151e52938
hex1540634

22283828 has 72 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 8964480.

The previous prime is 22283791. The next prime is 22283837. The reversal of 22283828 is 82838222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377663 + ... + 377721.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 222283828 is an apocalyptic number.

22283828 is a gapful number since it is divisible by the number (28) 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 22283828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

22283828 is an abundant number, since it is smaller than the sum of its proper divisors (25979212).

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

22283828 is a wasteful number, since it uses less digits than its factorization.

22283828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 22283828 is about 4720.5749649804. The cubic root of 22283828 is about 281.4037836839.

The spelling of 22283828 in words is "twenty-two million, two hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 47 49 59 82 94 98 118 164 188 196 236 287 329 413 574 658 826 1148 1316 1652 1927 2009 2303 2419 2773 2891 3854 4018 4606 4838 5546 5782 7708 8036 9212 9676 11092 11564 13489 16933 19411 26978 33866 38822 53956 67732 77644 94423 113693 118531 135877 188846 227386 237062 271754 377692 454772 474124 543508 795851 1591702 3183404 5570957 11141914 22283828