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2040212200 = 235213784697
BaseRepresentation
bin111100110011011…
…0010101011101000
312021012000111222211
41321212302223220
513134243242300
6534240454504
7101362342345
oct17146625350
95235014884
102040212200
11957712694
1248b31a434
132668b6670
14154d657cc
15be1a74ba
hex799b2ae8

2040212200 has 48 divisors (see below), whose sum is σ = 5108383980. Its totient is φ = 753308160.

The previous prime is 2040212197. The next prime is 2040212231. The reversal of 2040212200 is 22120402.

It can be written as a sum of positive squares in 6 ways, for example, as 525601476 + 1514610724 = 22926^2 + 38918^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389749 + ... + 394948.

Almost surely, 22040212200 is an apocalyptic number.

2040212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040212200 is an abundant number, since it is smaller than the sum of its proper divisors (3068171780).

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

2040212200 is a wasteful number, since it uses less digits than its factorization.

2040212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784726 (or 784717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2040212200 is about 45168.7081949440. The cubic root of 2040212200 is about 1268.3091143665.

Adding to 2040212200 its reverse (22120402), we get a palindrome (2062332602).

The spelling of 2040212200 in words is "two billion, forty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 784697 1569394 3138788 3923485 6277576 7846970 10201061 15693940 19617425 20402122 31387880 39234850 40804244 51005305 78469700 81608488 102010610 156939400 204021220 255026525 408042440 510053050 1020106100 2040212200