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1423022400 = 263252175813
BaseRepresentation
bin101010011010001…
…1001100101000000
310200011200000202100
41110310121211000
510403243204100
6353112150400
750156330232
oct12464314500
93604600670
101423022400
11670293878
12338698400
13198a7c7b7
14d6dc6252
1584de1400
hex54d19940

1423022400 has 252 divisors, whose sum is σ = 5356194012. Its totient is φ = 357089280.

The previous prime is 1423022371. The next prime is 1423022401. The reversal of 1423022400 is 42203241.

1423022400 is a `hidden beast` number, since 1 + 423 + 0 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15872256 + 1407150144 = 3984^2 + 37512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423022401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241894 + ... + 247706.

Almost surely, 21423022400 is an apocalyptic number.

1423022400 is a gapful number since it is divisible by the number (10) 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 1423022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678097006).

1423022400 is an abundant number, since it is smaller than the sum of its proper divisors (3933171612).

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

1423022400 is a wasteful number, since it uses less digits than its factorization.

1423022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1423022400 is about 37722.9691302262. The cubic root of 1423022400 is about 1124.7877525516.

Adding to 1423022400 its reverse (42203241), we get a palindrome (1465225641).

The spelling of 1423022400 in words is "one billion, four hundred twenty-three million, twenty-two thousand, four hundred".