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230074432 = 267618419
BaseRepresentation
bin11011011011010…
…10100001000000
3121000220222210021
431231222201000
5432344340212
634455143224
75462412640
oct1555524100
9530828707
10230074432
11108964365
1265074b14
1338887123
14227b0520
15152ea307
hexdb6a840

230074432 has 56 divisors (see below), whose sum is σ = 530392640. Its totient is φ = 96975360.

The previous prime is 230074391. The next prime is 230074433. The reversal of 230074432 is 234470032.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 230074397 and 230074406.

It is not an unprimeable number, because it can be changed into a prime (230074433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23119 + ... + 31537.

Almost surely, 2230074432 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 230074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265196320).

230074432 is an abundant number, since it is smaller than the sum of its proper divisors (300318208).

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

230074432 is an equidigital number, since it uses as much as digits as its factorization.

230074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 230074432 is about 15168.2046399698. The cubic root of 230074432 is about 612.7586530513.

The spelling of 230074432 in words is "two hundred thirty million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 8419 13664 16838 27328 33676 58933 67352 117866 134704 235732 269408 471464 513559 538816 942928 1027118 1885856 2054236 3594913 3771712 4108472 7189826 8216944 14379652 16433888 28759304 32867776 57518608 115037216 230074432