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2204313400 = 235267179919
BaseRepresentation
bin1000001101100011…
…0010011100111000
312200121210201112001
42003120302130320
514003301012100
61002422030344
7105424232452
oct20330623470
95617721461
102204313400
11a31306313
125162783b4
132918b1a73
1416ca812d2
15cd7bed6a
hex83632738

2204313400 has 96 divisors (see below), whose sum is σ = 5236272000. Its totient is φ = 862773120.

The previous prime is 2204313389. The next prime is 2204313439. The reversal of 2204313400 is 43134022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2398141 + ... + 2399059.

It is an arithmetic number, because the mean of its divisors is an integer number (54544500).

Almost surely, 22204313400 is an apocalyptic number.

2204313400 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 2204313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618136000).

2204313400 is an abundant number, since it is smaller than the sum of its proper divisors (3031958600).

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

2204313400 is a wasteful number, since it uses less digits than its factorization.

2204313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2204313400 is about 46950.1160807937. The cubic root of 2204313400 is about 1301.4408875732.

Adding to 2204313400 its reverse (43134022), we get a palindrome (2247447422).

It can be divided in two parts, 2 and 204313400, that added together give a palindrome (204313402).

The spelling of 2204313400 in words is "two billion, two hundred four million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 179 200 268 335 358 536 670 716 895 919 1340 1432 1675 1790 1838 2680 3350 3580 3676 4475 4595 6700 7160 7352 8950 9190 11993 13400 17900 18380 22975 23986 35800 36760 45950 47972 59965 61573 91900 95944 119930 123146 164501 183800 239860 246292 299825 307865 329002 479720 492584 599650 615730 658004 822505 1199300 1231460 1316008 1539325 1645010 2398600 2462920 3078650 3290020 4112525 6157300 6580040 8225050 11021567 12314600 16450100 22043134 32900200 44086268 55107835 88172536 110215670 220431340 275539175 440862680 551078350 1102156700 2204313400