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2125733500 = 225311523739
BaseRepresentation
bin111111010110100…
…0001111001111100
312111010221110011101
41332231001321330
513323141433000
6550533502444
7103451302522
oct17655017174
95433843141
102125733500
119a0a15050
124b3aa1a24
1327b52ab97
14162468312
15c694be6a
hex7eb41e7c

2125733500 has 96 divisors (see below), whose sum is σ = 5081207040. Its totient is φ = 770472000.

The previous prime is 2125733497. The next prime is 2125733507. The reversal of 2125733500 is 53375212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125733507) 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 31 ways as a sum of consecutive naturals, for example, 2876131 + ... + 2876869.

It is an arithmetic number, because the mean of its divisors is an integer number (52929240).

Almost surely, 22125733500 is an apocalyptic number.

2125733500 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 2125733500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540603520).

2125733500 is an abundant number, since it is smaller than the sum of its proper divisors (2955473540).

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

2125733500 is a wasteful number, since it uses less digits than its factorization.

2125733500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 2125733500 is about 46105.6775245739. The cubic root of 2125733500 is about 1285.7887026298.

The spelling of 2125733500 in words is "two billion, one hundred twenty-five million, seven hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 523 550 739 1046 1100 1375 1478 2092 2615 2750 2956 3695 5230 5500 5753 7390 8129 10460 11506 13075 14780 16258 18475 23012 26150 28765 32516 36950 40645 52300 57530 65375 73900 81290 92375 115060 130750 143825 162580 184750 203225 261500 287650 369500 386497 406450 575300 719125 772994 812900 1016125 1438250 1545988 1932485 2032250 2876500 3864970 4064500 4251467 7729940 8502934 9662425 17005868 19324850 21257335 38649700 42514670 48312125 85029340 96624250 106286675 193248500 212573350 425146700 531433375 1062866750 2125733500