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20228032 = 261159487
BaseRepresentation
bin100110100101…
…0011111000000
31102001200122101
41031022133000
520134244112
62001320144
7333635566
oct115123700
942050571
1020228032
1110466690
126936054
134263166
142987a36
151b98757
hex134a7c0

20228032 has 56 divisors (see below), whose sum is σ = 44622720. Its totient is φ = 9020160.

The previous prime is 20228003. The next prime is 20228041. The reversal of 20228032 is 23082202.

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 7 ways as a sum of consecutive naturals, for example, 41293 + ... + 41779.

Almost surely, 220228032 is an apocalyptic number.

20228032 is a gapful number since it is divisible by the number (22) 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 20228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311360).

20228032 is an abundant number, since it is smaller than the sum of its proper divisors (24394688).

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

20228032 is a wasteful number, since it uses less digits than its factorization.

20228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20228032 is about 4497.5584487586. The cubic root of 20228032 is about 272.4694890509.

The spelling of 20228032 in words is "twenty million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 487 649 704 944 974 1298 1888 1948 2596 3776 3896 5192 5357 7792 10384 10714 15584 20768 21428 28733 31168 41536 42856 57466 85712 114932 171424 229864 316063 342848 459728 632126 919456 1264252 1838912 2528504 5057008 10114016 20228032