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225020404400 = 24521165378317
BaseRepresentation
bin1101000110010001000…
…0101110001010110000
3210111211001120220212212
43101210100232022300
512141320210420100
6251212320111252
722154133610301
oct3214420561260
9714731526785
10225020404400
1187481174370
123773aa65528
13182b0b4abac
14ac6905a7a8
155cbed27635
hex346442e2b0

225020404400 has 120 divisors (see below), whose sum is σ = 590668717104. Its totient is φ = 81699251200.

The previous prime is 225020404397. The next prime is 225020404451. The reversal of 225020404400 is 4404020522.

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, 2834042 + ... + 2912358.

Almost surely, 2225020404400 is an apocalyptic number.

225020404400 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 225020404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295334358552).

225020404400 is an abundant number, since it is smaller than the sum of its proper divisors (365648312704).

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

225020404400 is a wasteful number, since it uses less digits than its factorization.

225020404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78999 (or 78988 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 225020404400 its reverse (4404020522), we get a palindrome (229424424922).

The spelling of 225020404400 in words is "two hundred twenty-five billion, twenty million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 653 880 1100 1306 2200 2612 3265 4400 5224 6530 7183 10448 13060 14366 16325 26120 28732 32650 35915 52240 57464 65300 71830 78317 114928 130600 143660 156634 179575 261200 287320 313268 359150 391585 574640 626536 718300 783170 861487 1253072 1436600 1566340 1722974 1957925 2873200 3132680 3445948 3915850 4307435 6265360 6891896 7831700 8614870 13783792 15663400 17229740 21537175 31326800 34459480 43074350 51141001 68918960 86148700 102282002 172297400 204564004 255705005 344594800 409128008 511410010 562551011 818256016 1022820020 1125102022 1278525025 2045640040 2250204044 2557050050 2812755055 4091280080 4500408088 5114100100 5625510110 9000816176 10228200200 11251020220 14063775275 20456400400 22502040440 28127550550 45004080880 56255101100 112510202200 225020404400