Search a number
-
+
422130145428 = 223225914525603
BaseRepresentation
bin1100010010010001110…
…10101101100010010100
31111100120222100020102200
412021020322231202110
523404010304123203
6521531322004500
742332531014305
oct6111072554224
91440528306380
10422130145428
1115302a50a192
126998a646730
1330a6442a054
14166073407ac
15aea96839a3
hex6248ead894

422130145428 has 36 divisors (see below), whose sum is σ = 1067463266688. Its totient is φ = 140655710160.

The previous prime is 422130145403. The next prime is 422130145429. The reversal of 422130145428 is 824541031224.

422130145428 is a `hidden beast` number, since 4 + 2 + 213 + 0 + 14 + 5 + 428 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 422130145392 and 422130145401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422130145429) 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, 2169526 + ... + 2356077.

It is an arithmetic number, because the mean of its divisors is an integer number (29651757408).

Almost surely, 2422130145428 is an apocalyptic number.

It is an amenable number.

422130145428 is an abundant number, since it is smaller than the sum of its proper divisors (645333121260).

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

422130145428 is a wasteful number, since it uses less digits than its factorization.

422130145428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528204 (or 4528199 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 422130145428 in words is "four hundred twenty-two billion, one hundred thirty million, one hundred forty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2591 5182 7773 10364 15546 23319 31092 46638 93276 4525603 9051206 13576809 18102412 27153618 40730427 54307236 81460854 162921708 11725837373 23451674746 35177512119 46903349492 70355024238 105532536357 140710048476 211065072714 422130145428