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226515510160 = 2452831443877
BaseRepresentation
bin1101001011110101100…
…0000110001110010000
3210122200020220011102021
43102331120012032100
512202400432311120
6252020525301224
722236160032232
oct3227530061620
9718606804367
10226515510160
1188079111465
1237a97704814
131848b818564
14ad6b848252
155d5b206aaa
hex34bd606390

226515510160 has 20 divisors (see below), whose sum is σ = 526648561308. Its totient is φ = 90606204032.

The previous prime is 226515510139. The next prime is 226515510163. The reversal of 226515510160 is 61015515622.

It can be written as a sum of positive squares in 2 ways, for example, as 149193697536 + 77321812624 = 386256^2 + 278068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (226515510163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1415721859 + ... + 1415722018.

Almost surely, 2226515510160 is an apocalyptic number.

226515510160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226515510160 is an abundant number, since it is smaller than the sum of its proper divisors (300133051148).

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

226515510160 is a wasteful number, since it uses less digits than its factorization.

226515510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831443890 (or 2831443884 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 226515510160 in words is "two hundred twenty-six billion, five hundred fifteen million, five hundred ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2831443877 5662887754 11325775508 14157219385 22651551016 28314438770 45303102032 56628877540 113257755080 226515510160