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225776300032 = 212112948823
BaseRepresentation
bin1101001001000101010…
…0001111000000000000
3210120202201221101202101
43102101110033000000
512144342213100112
6251415321400144
722211642612533
oct3222124170000
9716681841671
10225776300032
11878299209a8
1237910039054
13183a162b00a
14acdb5c4a1a
155d1638b757
hex349150f000

225776300032 has 52 divisors (see below), whose sum is σ = 451906643920. Its totient is φ = 112785850368.

The previous prime is 225776300023. The next prime is 225776300083. The reversal of 225776300032 is 230003677522.

It is a super-2 number, since 2×2257763000322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225776299964 and 225776300000.

It is a congruent number.

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, 4599973 + ... + 4648795.

Almost surely, 2225776300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225776300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225953321960).

225776300032 is an abundant number, since it is smaller than the sum of its proper divisors (226130343888).

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

225776300032 is an equidigital number, since it uses as much as digits as its factorization.

225776300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49976 (or 49954 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

Adding to 225776300032 its reverse (230003677522), we get a palindrome (455779977554).

The spelling of 225776300032 in words is "two hundred twenty-five billion, seven hundred seventy-six million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1129 2048 2258 4096 4516 9032 18064 36128 48823 72256 97646 144512 195292 289024 390584 578048 781168 1156096 1562336 2312192 3124672 4624384 6249344 12498688 24997376 49994752 55121167 99989504 110242334 199979008 220484668 440969336 881938672 1763877344 3527754688 7055509376 14111018752 28222037504 56444075008 112888150016 225776300032