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22085028 = 22337131223
BaseRepresentation
bin101010000111…
…1110110100100
31112120000222000
41110033312210
521123210103
62105205300
7355501560
oct124176644
945500860
1022085028
1111514899
127490830
134763484
142d0c6a0
151e13aa3
hex150fda4

22085028 has 96 divisors (see below), whose sum is σ = 66232320. Its totient is φ = 6233760.

The previous prime is 22085027. The next prime is 22085029. The reversal of 22085028 is 82058022.

It is an interprime number because it is at equal distance from previous prime (22085027) and next prime (22085029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22084992 and 22085010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22085027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98925 + ... + 99147.

It is an arithmetic number, because the mean of its divisors is an integer number (689920).

Almost surely, 222085028 is an apocalyptic number.

22085028 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 22085028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33116160).

22085028 is an abundant number, since it is smaller than the sum of its proper divisors (44147292).

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

22085028 is a wasteful number, since it uses less digits than its factorization.

22085028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22085028 is about 4699.4710340633. The cubic root of 22085028 is about 280.5644565762.

The spelling of 22085028 in words is "twenty-two million, eighty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 223 252 262 378 393 446 524 669 756 786 892 917 1179 1338 1561 1572 1834 2007 2358 2676 2751 3122 3537 3668 4014 4683 4716 5502 6021 6244 7074 8028 8253 9366 11004 12042 14049 14148 16506 18732 24084 24759 28098 29213 33012 42147 49518 56196 58426 84294 87639 99036 116852 168588 175278 204491 262917 350556 408982 525834 613473 788751 817964 1051668 1226946 1577502 1840419 2453892 3155004 3680838 5521257 7361676 11042514 22085028