Search a number
-
+
2125433800 = 23527330983
BaseRepresentation
bin111111010101111…
…1000101111001000
312111010101020001101
41332223320233020
513323102340200
6550523231144
7103445614000
oct17653705710
95433336041
102125433800
119a082a966
124b39784b4
1327b454649
141623cb000
15c68dd26a
hex7eaf8bc8

2125433800 has 96 divisors (see below), whose sum is σ = 5763024000. Its totient is φ = 728696640.

The previous prime is 2125433767. The next prime is 2125433801. The reversal of 2125433800 is 83345212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2125433801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53109 + ... + 84091.

It is an arithmetic number, because the mean of its divisors is an integer number (60031500).

Almost surely, 22125433800 is an apocalyptic number.

2125433800 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 2125433800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881512000).

2125433800 is an abundant number, since it is smaller than the sum of its proper divisors (3637590200).

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

2125433800 is a wasteful number, since it uses less digits than its factorization.

2125433800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31020 (or 30997 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2125433800 is about 46102.4272679867. The cubic root of 2125433800 is about 1285.7282734516.

The spelling of 2125433800 in words is "two billion, one hundred twenty-five million, four hundred thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 30983 34300 61966 68600 123932 154915 216881 247864 309830 433762 619660 774575 867524 1084405 1239320 1518167 1549150 1735048 2168810 3036334 3098300 4337620 5422025 6072668 6196600 7590835 8675240 10627169 10844050 12145336 15181670 21254338 21688100 30363340 37954175 42508676 43376200 53135845 60726680 75908350 85017352 106271690 151816700 212543380 265679225 303633400 425086760 531358450 1062716900 2125433800