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230419849816 = 23132170428883
BaseRepresentation
bin1101011010011000010…
…1111110001001011000
3211000202100121011112201
43112212011332021120
512233344440143231
6253504201015544
722435006256542
oct3264605761130
9730670534481
10230419849816
11897a1aa8652
12387a71845b4
1318961685800
14b21c1ba692
155ed8d83161
hex35a617e258

230419849816 has 24 divisors (see below), whose sum is σ = 467827286580. Its totient is φ = 106347622368.

The previous prime is 230419849789. The next prime is 230419849819. The reversal of 230419849816 is 618948914032.

230419849816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230419849819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85213090 + ... + 85215793.

Almost surely, 2230419849816 is an apocalyptic number.

230419849816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

230419849816 is an abundant number, since it is smaller than the sum of its proper divisors (237407436764).

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

230419849816 is a wasteful number, since it uses less digits than its factorization.

230419849816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170428915 (or 170428898 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 230419849816 in words is "two hundred thirty billion, four hundred nineteen million, eight hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 170428883 340857766 681715532 1363431064 2215575479 4431150958 8862301916 17724603832 28802481227 57604962454 115209924908 230419849816