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2125454000 = 24531955933
BaseRepresentation
bin111111010101111…
…1101101010110000
312111010102020202112
41332223331222300
513323104012000
6550523504452
7103446026615
oct17653755260
95433366675
102125454000
119a084405a
124b3988128
1327b4608b7
141623d450c
15c68e4235
hex7eafdab0

2125454000 has 80 divisors (see below), whose sum is σ = 5409936480. Its totient is φ = 805420800.

The previous prime is 2125453997. The next prime is 2125454003. The reversal of 2125454000 is 4545212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2125453997) and next prime (2125454003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21254540002 = 9035109412232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125454003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10034 + ... + 65966.

It is an arithmetic number, because the mean of its divisors is an integer number (67624206).

Almost surely, 22125454000 is an apocalyptic number.

2125454000 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 2125454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704968240).

2125454000 is an abundant number, since it is smaller than the sum of its proper divisors (3284482480).

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

2125454000 is a wasteful number, since it uses less digits than its factorization.

2125454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55975 (or 55959 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2125454000 is about 46102.6463448683. The cubic root of 2125454000 is about 1285.7323466011.

Adding to 2125454000 its reverse (4545212), we get a palindrome (2129999212).

The spelling of 2125454000 in words is "two billion, one hundred twenty-five million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 55933 111866 223732 279665 447464 559330 894928 1062727 1118660 1398325 2125454 2237320 2796650 4250908 4474640 5313635 5593300 6991625 8501816 10627270 11186600 13983250 17003632 21254540 22373200 26568175 27966500 42509080 53136350 55933000 85018160 106272700 111866000 132840875 212545400 265681750 425090800 531363500 1062727000 2125454000