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226432899648 = 2632393112673
BaseRepresentation
bin1101001011100001110…
…0111101101001000000
3210122110111110010002200
43102320130331221000
512202213310242043
6252004414513200
722234134614244
oct3227034755100
9718414403080
10226432899648
1188036517a0a
1237a73b05800
1318477682bb7
14ad608a2424
155d53d397d3
hex34b873da40

226432899648 has 42 divisors (see below), whose sum is σ = 649029024774. Its totient is φ = 75477633024.

The previous prime is 226432899631. The next prime is 226432899683. The reversal of 226432899648 is 846998234622.

226432899648 is a `hidden beast` number, since 2 + 264 + 3 + 289 + 96 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171654433344 + 54778466304 = 414312^2 + 234048^2 .

It is a super-3 number, since 3×2264328996483 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196555761 + ... + 196556912.

Almost surely, 2226432899648 is an apocalyptic number.

It is an amenable number.

226432899648 is an abundant number, since it is smaller than the sum of its proper divisors (422596125126).

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

226432899648 is a wasteful number, since it uses less digits than its factorization.

226432899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393112691 (or 393112678 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 226432899648 in words is "two hundred twenty-six billion, four hundred thirty-two million, eight hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 393112673 786225346 1179338019 1572450692 2358676038 3144901384 3538014057 4717352076 6289802768 7076028114 9434704152 12579605536 14152056228 18869408304 25159211072 28304112456 37738816608 56608224912 75477633216 113216449824 226432899648