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2325690000 = 24325425841
BaseRepresentation
bin1000101010011111…
…0011011010010000
320000002012021220200
42022213303122100
514230334040000
61022435335200
7111430016214
oct21247633220
96002167820
102325690000
11a93878357
1254aa51500
132b0a9b43a
14180c38944
15d9298500
hex8a9f3690

2325690000 has 150 divisors (see below), whose sum is σ = 8133588606. Its totient is φ = 620160000.

The previous prime is 2325689957. The next prime is 2325690023. The reversal of 2325690000 is 965232.

It can be written as a sum of positive squares in 5 ways, for example, as 1191078144 + 1134611856 = 34512^2 + 33684^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×23256900002 = 10817667952200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77080 + ... + 102920.

Almost surely, 22325690000 is an apocalyptic number.

2325690000 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 2325690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066794303).

2325690000 is an abundant number, since it is smaller than the sum of its proper divisors (5807898606).

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

2325690000 is a wasteful number, since it uses less digits than its factorization.

2325690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25875 (or 25851 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2325690000 is about 48225.4082408848. The cubic root of 2325690000 is about 1324.9025678920.

The spelling of 2325690000 in words is "two billion, three hundred twenty-five million, six hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 25841 30000 45000 51682 77523 90000 103364 129205 155046 206728 232569 258410 310092 387615 413456 465138 516820 620184 646025 775230 930276 1033640 1162845 1240368 1292050 1550460 1860552 1938075 2067280 2325690 2584100 3100920 3230125 3721104 3876150 4651380 5168200 5814225 6201840 6460250 7752300 9302760 9690375 10336400 11628450 12920500 15504600 16150625 18605520 19380750 23256900 25841000 29071125 31009200 32301250 38761500 46513800 48451875 51682000 58142250 64602500 77523000 93027600 96903750 116284500 129205000 145355625 155046000 193807500 232569000 258410000 290711250 387615000 465138000 581422500 775230000 1162845000 2325690000