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21875000 = 23587
BaseRepresentation
bin101001101110…
…0100100111000
31112011100212012
41103130210320
521100000000
62100505052
7353635340
oct123344470
945140765
1021875000
1111391014
1273ab188
1346bb9b4
142c95d20
151dc1735
hex14dc938

21875000 has 72 divisors (see below), whose sum is σ = 58593720. Its totient is φ = 7500000.

The previous prime is 21874999. The next prime is 21875033. The reversal of 21875000 is 57812.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124997 + ... + 3125003.

Almost surely, 221875000 is an apocalyptic number.

21875000 is a gapful number since it is divisible by the number (20) 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 21875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29296860).

21875000 is an abundant number, since it is smaller than the sum of its proper divisors (36718720).

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

21875000 is an frugal number, since it uses more digits than its factorization.

21875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 21875000 is about 4677.0717334674. The cubic root of 21875000 is about 279.6722355203.

The spelling of 21875000 in words is "twenty-one million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3125 3500 4375 5000 6250 7000 8750 12500 15625 17500 21875 25000 31250 35000 43750 62500 78125 87500 109375 125000 156250 175000 218750 312500 390625 437500 546875 625000 781250 875000 1093750 1562500 2187500 2734375 3125000 4375000 5468750 10937500 21875000