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423202560 = 28351143233
BaseRepresentation
bin11001001110011…
…000111100000000
31002111022220202220
4121032120330000
51331314440220
6105554411040
713326106464
oct3116307400
91074286686
10423202560
111a7983390
12b9890a80
13698a6621
14402c44a4
1527248540
hex19398f00

423202560 has 288 divisors, whose sum is σ = 1515241728. Its totient is φ = 99778560.

The previous prime is 423202547. The next prime is 423202583. The reversal of 423202560 is 65202324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 423202560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816204 + ... + 1816436.

It is an arithmetic number, because the mean of its divisors is an integer number (5261256).

Almost surely, 2423202560 is an apocalyptic number.

423202560 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 423202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757620864).

423202560 is an abundant number, since it is smaller than the sum of its proper divisors (1092039168).

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

423202560 is a wasteful number, since it uses less digits than its factorization.

423202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 423202560 is about 20571.8876139260. The cubic root of 423202560 is about 750.7858784613.

Adding to 423202560 its reverse (65202324), we get a palindrome (488404884).

The spelling of 423202560 in words is "four hundred twenty-three million, two hundred two thousand, five hundred sixty".