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2045500200 = 2332521136389
BaseRepresentation
bin111100111101011…
…1101101100101000
312021112222011202200
41321322331230220
513142122001300
6534550100200
7101455315302
oct17172755450
95245864680
102045500200
1195a6a4637
1249104a660
13267a18563
14155940972
15be89e200
hex79ebdb28

2045500200 has 72 divisors (see below), whose sum is σ = 6869477550. Its totient is φ = 545466240.

The previous prime is 2045500199. The next prime is 2045500253. The reversal of 2045500200 is 20055402.

It can be written as a sum of positive squares in 3 ways, for example, as 1798947396 + 246552804 = 42414^2 + 15702^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 566395 + ... + 569994.

Almost surely, 22045500200 is an apocalyptic number.

2045500200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045500200 is an abundant number, since it is smaller than the sum of its proper divisors (4823977350).

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

2045500200 is a wasteful number, since it uses less digits than its factorization.

2045500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136411 (or 1136399 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2045500200 is about 45227.2064138390. The cubic root of 2045500200 is about 1269.4039404320.

Adding to 2045500200 its reverse (20055402), we get a palindrome (2065555602).

The spelling of 2045500200 in words is "two billion, forty-five million, five hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1136389 2272778 3409167 4545556 5681945 6818334 9091112 10227501 11363890 13636668 17045835 20455002 22727780 27273336 28409725 34091670 40910004 45455560 51137505 56819450 68183340 81820008 85229175 102275010 113638900 136366680 170458350 204550020 227277800 255687525 340916700 409100040 511375050 681833400 1022750100 2045500200