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20225800 = 2352714447
BaseRepresentation
bin100110100100…
…1111100001000
31102001120120201
41031021330020
520134211200
62001301544
7333626230
oct115117410
942046521
1020225800
1110464a41
1269348b4
13426213a
142986cc0
151b97c6a
hex1349f08

20225800 has 48 divisors (see below), whose sum is σ = 53746560. Its totient is φ = 6934080.

The previous prime is 20225783. The next prime is 20225813. The reversal of 20225800 is 852202.

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 11 ways as a sum of consecutive naturals, for example, 5824 + ... + 8623.

It is an arithmetic number, because the mean of its divisors is an integer number (1119720).

Almost surely, 220225800 is an apocalyptic number.

20225800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20225800 is an abundant number, since it is smaller than the sum of its proper divisors (33520760).

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

20225800 is a wasteful number, since it uses less digits than its factorization.

20225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20225800 is about 4497.3103072837. The cubic root of 20225800 is about 272.4594670796.

It can be divided in two parts, 20225 and 800, that added together give a square (21025 = 1452).

The spelling of 20225800 in words is "twenty million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 14447 28894 57788 72235 101129 115576 144470 202258 288940 361175 404516 505645 577880 722350 809032 1011290 1444700 2022580 2528225 2889400 4045160 5056450 10112900 20225800