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225404514415300 = 2252114147031062701
BaseRepresentation
bin110011010000000100010100…
…000000110011001011000100
31002120002110110011110010012211
4303100010110000303023010
5214021011421142242200
62115221223203553204
765322636665032333
oct6320042400631304
91076073404403184
10225404514415300
1165903577116280
1221344aa398b804
1398a072932815c
143d938cb1a9d1a
151b0d44e529aba
hexcd01140332c4

225404514415300 has 144 divisors (see below), whose sum is σ = 546725186348544. Its totient is φ = 79949046400000.

The previous prime is 225404514415247. The next prime is 225404514415343. The reversal of 225404514415300 is 3514415404522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211573950 + ... + 212636650.

It is an arithmetic number, because the mean of its divisors is an integer number (3796702682976).

Almost surely, 2225404514415300 is an apocalyptic number.

225404514415300 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 225404514415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273362593174272).

225404514415300 is an abundant number, since it is smaller than the sum of its proper divisors (321320671933244).

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

225404514415300 is a wasteful number, since it uses less digits than its factorization.

225404514415300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067470 (or 1067463 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 225404514415300 its reverse (3514415404522), we get a palindrome (228918929819822).

The spelling of 225404514415300 in words is "two hundred twenty-five trillion, four hundred four billion, five hundred fourteen million, four hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 4703 9020 9406 11275 18812 22550 23515 45100 47030 51733 94060 103466 117575 192823 206932 235150 258665 385646 470300 517330 771292 964115 1034660 1062701 1293325 1928230 2121053 2125402 2586650 3856460 4242106 4250804 4820575 5173300 5313505 8484212 9641150 10605265 10627010 11689711 19282300 21210530 21254020 23379422 26567525 42421060 43570741 46758844 53026325 53135050 58448555 87141482 106052650 106270100 116897110 174282964 212105300 217853705 233794220 292242775 435707410 479278151 584485550 871414820 958556302 1089268525 1168971100 1917112604 2178537050 2396390755 4357074100 4792781510 4997882803 9585563020 9995765606 11981953775 19991531212 23963907550 24989414015 47927815100 49978828030 54976710833 99957656060 109953421666 124947070075 204913194923 219906843332 249894140150 274883554165 409826389846 499788280300 549767108330 819652779692 1024565974615 1099534216660 1374417770825 2049131949230 2254045144153 2748835541650 4098263898460 4508090288306 5122829873075 5497671083300 9016180576612 10245659746150 11270225720765 20491319492300 22540451441530 45080902883060 56351128603825 112702257207650 225404514415300