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204440040200 = 235211234040317
BaseRepresentation
bin1011111001100110010…
…0110111001100001000
3201112200210000002121202
42332121210313030020
511322143122241300
6233530215323332
720525133445424
oct2763144671410
9645623002552
10204440040200
1179780089110
1233756680548
13163811610b6
149c75a5db84
1554b816bad5
hex2f99937308

204440040200 has 96 divisors (see below), whose sum is σ = 541079386560. Its totient is φ = 71109561600.

The previous prime is 204440040169. The next prime is 204440040229. The reversal of 204440040200 is 2040044402.

204440040200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 1969559 + ... + 2070758.

It is an arithmetic number, because the mean of its divisors is an integer number (5636243610).

Almost surely, 2204440040200 is an apocalyptic number.

204440040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204440040200 is an abundant number, since it is smaller than the sum of its proper divisors (336639346360).

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

204440040200 is a wasteful number, since it uses less digits than its factorization.

204440040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040367 (or 4040358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204440040200 its reverse (2040044402), we get a palindrome (206480084602).

The spelling of 204440040200 in words is "two hundred four billion, four hundred forty million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 4040317 8080634 16161268 20201585 32322536 40403170 44443487 80806340 88886974 92927291 101007925 161612680 177773948 185854582 202015850 222217435 355547896 371709164 404031700 444434870 464636455 743418328 808063400 888869740 929272910 1022200201 1111087175 1777739480 1858545820 2044400402 2222174350 2323182275 3717091640 4088800804 4444348700 4646364550 5111001005 8177601608 8888697400 9292729100 10222002010 18585458200 20444004020 25555005025 40888008040 51110010050 102220020100 204440040200