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225663054401040 = 2435940262726671
BaseRepresentation
bin110011010011110101000110…
…001100100100111000010000
31002121000011210021001012102020
4303103311012030210320100
5214034230413411313130
62115540102005051440
765350421566454604
oct6323650614447020
91077004707035366
10225663054401040
11659a3189205183
12213870183b6b80
1398bbc1c772439
143da2215c89504
151b15031e54e10
hexcd3d46324e10

225663054401040 has 40 divisors (see below), whose sum is σ = 699555468643968. Its totient is φ = 60176814506880.

The previous prime is 225663054401003. The next prime is 225663054401089. The reversal of 225663054401040 is 40104450366522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 225663054400983 and 225663054401001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470131363096 + ... + 470131363575.

Almost surely, 2225663054401040 is an apocalyptic number.

225663054401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225663054401040 is an abundant number, since it is smaller than the sum of its proper divisors (473892414242928).

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

225663054401040 is a wasteful number, since it uses less digits than its factorization.

225663054401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940262726687 (or 940262726681 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 225663054401040 in words is "two hundred twenty-five trillion, six hundred sixty-three billion, fifty-four million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 940262726671 1880525453342 2820788180013 3761050906684 4701313633355 5641576360026 7522101813368 9402627266710 11283152720052 14103940900065 15044203626736 18805254533420 22566305440104 28207881800130 37610509066840 45132610880208 56415763600260 75221018133680 112831527200520 225663054401040