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434226260232 = 2332776592
BaseRepresentation
bin1100101000110011110…
…01101110100100001000
31112111210222022112111200
412110121321232210020
524103243410311412
6531251503424200
743241350212162
oct6243171564410
91474728275450
10434226260232
11158177449286
12701a55b5060
1331c41474b2b
1417033a1b932
15b46658c9dc
hex6519e6e908

434226260232 has 36 divisors (see below), whose sum is σ = 1176044598495. Its totient is φ = 144740222928.

The previous prime is 434226260201. The next prime is 434226260233. The reversal of 434226260232 is 232062622434.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

434226260232 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 2 + 626 + 0 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217113130116 + 217113130116 = 465954^2 + 465954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=465954.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (434226260233) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5552619 + ... + 5630277.

Almost surely, 2434226260232 is an apocalyptic number.

It is an amenable number.

434226260232 is an abundant number, since it is smaller than the sum of its proper divisors (741818338263).

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

434226260232 is an frugal number, since it uses more digits than its factorization.

434226260232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155330 (or 77664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 434226260232 its reverse (232062622434), we get a palindrome (666288882666).

The spelling of 434226260232 in words is "four hundred thirty-four billion, two hundred twenty-six million, two hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 77659 155318 232977 310636 465954 621272 698931 931908 1397862 1863816 2795724 5591448 6030920281 12061840562 18092760843 24123681124 36185521686 48247362248 54278282529 72371043372 108556565058 144742086744 217113130116 434226260232