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225416343572420 = 225711132866119817
BaseRepresentation
bin110011010000001111010101…
…000101011100111111000100
31002120010120222120002120012012
4303100033111011130333010
5214021210132423304140
62115230501051513352
765323536063150020
oct6320172505347704
91076116876076165
10225416343572420
116590859739a090
1221347245458858
1398a1892c73b00
143d942d0235380
151b0d8e2ca0265
hexcd03d515cfc4

225416343572420 has 144 divisors (see below), whose sum is σ = 639071704430208. Its totient is φ = 64855051822080.

The previous prime is 225416343572389. The next prime is 225416343572449. The reversal of 225416343572420 is 24275343614522.

225416343572420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 432799649 + ... + 433320168.

It is an arithmetic number, because the mean of its divisors is an integer number (4437997947432).

Almost surely, 2225416343572420 is an apocalyptic number.

225416343572420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225416343572420 is an abundant number, since it is smaller than the sum of its proper divisors (413655360857788).

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

225416343572420 is a wasteful number, since it uses less digits than its factorization.

225416343572420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866119870 (or 866119855 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 50.

The spelling of 225416343572420 in words is "two hundred twenty-five trillion, four hundred sixteen billion, three hundred forty-three million, five hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 52052 65065 130130 260260 866119817 1732239634 3464479268 4330599085 6062838719 8661198170 9527317987 11259557621 12125677438 17322396340 19054635974 22519115242 24251354876 30314193595 38109271948 45038230484 47636589935 56297788105 60628387190 66691225909 78816903347 95273179870 112595576210 121256774380 123855133831 133382451818 146374249073 157633806694 190546359740 225191152420 247710267662 266764903636 292748498146 315267613388 333456129545 394084516735 495420535324 585496996292 619275669155 666912259090 731871245365 788169033470 866985936817 1024619743511 1238551338310 1333824518180 1463742490730 1576338066940 1610116739803 1733971873634 2049239487022 2477102676620 2927484981460 3220233479606 3467943747268 4098478974044 4334929684085 5123098717555 6440466959212 8050583699015 8669859368170 10246197435110 11270817178621 16101167398030 17339718736340 20492394870220 22541634357242 32202334796060 45083268714484 56354085893105 112708171786210 225416343572420