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225540816544 = 2529243039673
BaseRepresentation
bin1101001000001101000…
…1111011111010100000
3210120011022211121010201
43102003101323322200
512143401422112134
6251340110234544
722203053211001
oct3220321737240
9716138747121
10225540816544
1187718a0274a
12378651b5a54
13183648cbb84
14acb82071a8
155d00873914
hex348347bea0

225540816544 has 24 divisors (see below), whose sum is σ = 459344983860. Its totient is φ = 108881773056.

The previous prime is 225540816539. The next prime is 225540816559. The reversal of 225540816544 is 445618045522.

It can be written as a sum of positive squares in 2 ways, for example, as 223929596944 + 1611219600 = 473212^2 + 40140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225540816494 and 225540816503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121518909 + ... + 121520764.

Almost surely, 2225540816544 is an apocalyptic number.

It is an amenable number.

225540816544 is an abundant number, since it is smaller than the sum of its proper divisors (233804167316).

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

225540816544 is a wasteful number, since it uses less digits than its factorization.

225540816544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243039712 (or 243039704 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 46.

The spelling of 225540816544 in words is "two hundred twenty-five billion, five hundred forty million, eight hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 243039673 486079346 972158692 1944317384 3888634768 7048150517 7777269536 14096301034 28192602068 56385204136 112770408272 225540816544