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22028004 = 2233593457
BaseRepresentation
bin101010000000…
…1111011100100
31112110010202000
41110001323210
521114344004
62104045300
7355143405
oct124017344
945403660
1022028004
1111485a69
127463830
13474352b
142cd59ac
151e01c39
hex1501ee4

22028004 has 48 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 7216128.

The previous prime is 22027991. The next prime is 22028051. The reversal of 22028004 is 40082022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 4644 + ... + 8100.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 222028004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22028004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

22028004 is an abundant number, since it is smaller than the sum of its proper divisors (36066396).

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

22028004 is a wasteful number, since it uses less digits than its factorization.

22028004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22028004 is about 4693.4000468743. The cubic root of 22028004 is about 280.3227740331.

It can be divided in two parts, 220 and 28004, that added together give a square (28224 = 1682).

The spelling of 22028004 in words is "twenty-two million, twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 3457 6372 6914 10371 13828 20742 31113 41484 62226 93339 124452 186678 203963 373356 407926 611889 815852 1223778 1835667 2447556 3671334 5507001 7342668 11014002 22028004