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423245305200 = 2435210710333191
BaseRepresentation
bin1100010100010110110…
…00101101010101110000
31111110110200201020001110
412022023120231111300
523413301244231300
6522234115433320
742402261510054
oct6121330552560
91443420636043
10423245305200
11153551a39233
126a03bbb5840
1330bb1487cc3
14166b14a7c64
15b022511550
hex628b62d570

423245305200 has 240 divisors, whose sum is σ = 1370220800256. Its totient is φ = 111667353600.

The previous prime is 423245305199. The next prime is 423245305207. The reversal of 423245305200 is 2503542324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4232453052002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423245305207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132635605 + ... + 132638795.

Almost surely, 2423245305200 is an apocalyptic number.

423245305200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423245305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685110400128).

423245305200 is an abundant number, since it is smaller than the sum of its proper divisors (946975495056).

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

423245305200 is a wasteful number, since it uses less digits than its factorization.

423245305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 423245305200 its reverse (2503542324), we get a palindrome (425748847524).

The spelling of 423245305200 in words is "four hundred twenty-three billion, two hundred forty-five million, three hundred five thousand, two hundred".