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225542443455300 = 2235219275314372993
BaseRepresentation
bin110011010010000100110001…
…001110010101001101000100
31002120120122110200021022220210
4303102010301032111031010
5214030241411011032200
62115404433525555420
765335622001364356
oct6322046116251504
91076518420238823
10225542443455300
11659570164a6524
1221367777b75b70
1398b073ab2931a
143d9a45374b0d6
151b11d2351d650
hexcd2131395344

225542443455300 has 144 divisors (see below), whose sum is σ = 687164794263360. Its totient is φ = 56958442536960.

The previous prime is 225542443455289. The next prime is 225542443455367. The reversal of 225542443455300 is 3554344245522.

It is a self number, because there is not a number n which added to its sum of digits gives 225542443455300.

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, 8505604 + ... + 22878596.

It is an arithmetic number, because the mean of its divisors is an integer number (4771977737940).

Almost surely, 2225542443455300 is an apocalyptic number.

225542443455300 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 225542443455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343582397131680).

225542443455300 is an abundant number, since it is smaller than the sum of its proper divisors (461622350808060).

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

225542443455300 is a wasteful number, since it uses less digits than its factorization.

225542443455300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14375782 (or 14375775 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 48.

The spelling of 225542443455300 in words is "two hundred twenty-five trillion, five hundred forty-two billion, four hundred forty-three million, four hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2753 2850 5506 5700 8259 11012 13765 16518 27530 33036 41295 52307 55060 68825 82590 104614 137650 156921 165180 206475 209228 261535 275300 313842 412950 523070 627684 784605 825900 1046140 1307675 1569210 2615350 3138420 3923025 5230700 7846050 14372993 15692100 28745986 43118979 57491972 71864965 86237958 143729930 172475916 215594895 273086867 287459860 359324825 431189790 546173734 718649650 819260601 862379580 1077974475 1092347468 1365434335 1437299300 1638521202 2155948950 2730868670 3277042404 4096303005 4311897900 5461737340 6827171675 8192606010 13654343350 16385212020 20481515025 27308686700 39568849729 40963030050 79137699458 81926060100 118706549187 158275398916 197844248645 237413098374 395688497290 474826196748 593532745935 751808144851 791376994580 989221243225 1187065491870 1503616289702 1978442486450 2255424434553 2374130983740 2967663729675 3007232579404 3759040724255 3956884972900 4510848869106 5935327459350 7518081448510 9021697738212 11277122172765 11870654918700 15036162897020 18795203621275 22554244345530 37590407242550 45108488691060 56385610863825 75180814485100 112771221727650 225542443455300