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22124928 = 27378231
BaseRepresentation
bin101010001100…
…1100110000000
31112122001200210
41110121212000
521130444203
62110114120
7356026110
oct124314600
945561623
1022124928
1111541871
1274ab940
134778697
142d1d040
151e20803
hex1519980

22124928 has 64 divisors (see below), whose sum is σ = 67173120. Its totient is φ = 6320640.

The previous prime is 22124923. The next prime is 22124957. The reversal of 22124928 is 82942122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22124895 and 22124904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428 + ... + 6803.

It is an arithmetic number, because the mean of its divisors is an integer number (1049580).

Almost surely, 222124928 is an apocalyptic number.

22124928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22124928 is an abundant number, since it is smaller than the sum of its proper divisors (45048192).

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

22124928 is an equidigital number, since it uses as much as digits as its factorization.

22124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8243 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 22124928 is about 4703.7142770368. The cubic root of 22124928 is about 280.7333158751.

It can be divided in two parts, 2212 and 4928, that added together give a triangular number (7140 = T119).

The spelling of 22124928 in words is "twenty-two million, one hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 8231 16462 24693 32924 49386 57617 65848 98772 115234 131696 172851 197544 230468 263392 345702 395088 460936 526784 691404 790176 921872 1053568 1382808 1580352 1843744 2765616 3160704 3687488 5531232 7374976 11062464 22124928