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2530165000 = 235411179257
BaseRepresentation
bin1001011011001111…
…0100000100001000
320112022221200212211
42112303310010020
520140210240000
61055022114504
7116462022226
oct22663640410
96468850784
102530165000
111089237460
125a741ba34
1331426156c
141a0063b16
15ec1d87ba
hex96cf4108

2530165000 has 160 divisors (see below), whose sum is σ = 6528535200. Its totient is φ = 911360000.

The previous prime is 2530164997. The next prime is 2530165009. The reversal of 2530165000 is 5610352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2530165009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9844872 + ... + 9845128.

It is an arithmetic number, because the mean of its divisors is an integer number (40803345).

Almost surely, 22530165000 is an apocalyptic number.

2530165000 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 2530165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264267600).

2530165000 is an abundant number, since it is smaller than the sum of its proper divisors (3998370200).

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

2530165000 is a wasteful number, since it uses less digits than its factorization.

2530165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2530165000 is about 50300.7455213141. The cubic root of 2530165000 is about 1362.6456932552.

Adding to 2530165000 its reverse (5610352), we get a palindrome (2535775352).

The spelling of 2530165000 in words is "two billion, five hundred thirty million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 179 200 220 250 257 275 358 440 500 514 550 625 716 895 1000 1028 1100 1250 1285 1375 1432 1790 1969 2056 2200 2500 2570 2750 2827 3580 3938 4475 5000 5140 5500 5654 6425 6875 7160 7876 8950 9845 10280 11000 11308 12850 13750 14135 15752 17900 19690 22375 22616 25700 27500 28270 32125 35800 39380 44750 46003 49225 51400 55000 56540 64250 70675 78760 89500 92006 98450 111875 113080 128500 141350 160625 179000 184012 196900 223750 230015 246125 257000 282700 321250 353375 368024 393800 447500 460030 492250 506033 565400 642500 706750 895000 920060 984500 1012066 1150075 1230625 1285000 1413500 1766875 1840120 1969000 2024132 2300150 2461250 2530165 2827000 3533750 4048264 4600300 4922500 5060330 5750375 7067500 9200600 9845000 10120660 11500750 12650825 14135000 20241320 23001500 25301650 28751875 46003000 50603300 57503750 63254125 101206600 115007500 126508250 230015000 253016500 316270625 506033000 632541250 1265082500 2530165000