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220896432432 = 243213118000231
BaseRepresentation
bin1100110110111001110…
…1000001000100110000
3210010011122121102212100
43031232131001010300
512104343441314212
6245251201100400
721650006460354
oct3155635010460
9703148542770
10220896432432
1185755306175
1236989927700
1317aa46416b0
14a997475464
155b2cc64bdc
hex336e741130

220896432432 has 60 divisors (see below), whose sum is σ = 665757308944. Its totient is φ = 67968132480.

The previous prime is 220896432401. The next prime is 220896432433. The reversal of 220896432432 is 234234698022.

220896432432 is a `hidden beast` number, since 2 + 208 + 9 + 6 + 4 + 3 + 2 + 432 = 666.

It is a super-2 number, since 2×2208964324322 (a number of 23 digits) contains 22 as substring.

220896432432 is a modest number, since divided by 432432 gives 220896 as remainder.

It is not an unprimeable number, because it can be changed into a prime (220896432433) 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 11 ways as a sum of consecutive naturals, for example, 58998244 + ... + 59001987.

Almost surely, 2220896432432 is an apocalyptic number.

It is an amenable number.

220896432432 is an abundant number, since it is smaller than the sum of its proper divisors (444860876512).

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

220896432432 is a wasteful number, since it uses less digits than its factorization.

220896432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118000258 (or 118000249 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 220896432432 in words is "two hundred twenty billion, eight hundred ninety-six million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 118000231 236000462 354000693 472000924 708001386 944001848 1062002079 1416002772 1534003003 1888003696 2124004158 2832005544 3068006006 4248008316 4602009009 5664011088 6136012012 8496016632 9204018018 12272024024 13806027027 16992033264 18408036036 24544048048 27612054054 36816072072 55224108108 73632144144 110448216216 220896432432