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22148480 = 27534607
BaseRepresentation
bin101010001111…
…1010110000000
31112200021000002
41110133112000
521132222410
62110415132
7356154554
oct124372600
945607002
1022148480
1111558532
1275014a8
134786313
142d27864
151e277a5
hex151f580

22148480 has 32 divisors (see below), whose sum is σ = 52950240. Its totient is φ = 8859136.

The previous prime is 22148479. The next prime is 22148543. The reversal of 22148480 is 8484122.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 16664 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (1654695).

Almost surely, 222148480 is an apocalyptic number.

22148480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22148480 is an abundant number, since it is smaller than the sum of its proper divisors (30801760).

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

22148480 is an equidigital number, since it uses as much as digits as its factorization.

22148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34626 (or 34614 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 22148480 is about 4706.2171645601. The cubic root of 22148480 is about 280.8328941479.

The spelling of 22148480 in words is "twenty-two million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34607 69214 138428 173035 276856 346070 553712 692140 1107424 1384280 2214848 2768560 4429696 5537120 11074240 22148480