Search a number
-
+
1332214422000 = 2435371122712703
BaseRepresentation
bin10011011000101110001…
…010101101100111110000
311201100200022110122111220
4103120232022231213300
5133311333343001000
62500002202305040
7165151341514140
oct23305612554760
94640608418456
101332214422000
11473a97346250
12196237ab8180
13988201a03c7
144869db46920
15249c21691a0
hex1362e2ad9f0

1332214422000 has 640 divisors, whose sum is σ = 5378892300288. Its totient is φ = 275582592000.

The previous prime is 1332214421969. The next prime is 1332214422001. The reversal of 1332214422000 is 2244122331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332214422001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104867649 + ... + 104880351.

Almost surely, 21332214422000 is an apocalyptic number.

1332214422000 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 1332214422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689446150144).

1332214422000 is an abundant number, since it is smaller than the sum of its proper divisors (4046677878288).

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

1332214422000 is a wasteful number, since it uses less digits than its factorization.

1332214422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1332214422000 its reverse (2244122331), we get a palindrome (1334458544331).

The spelling of 1332214422000 in words is "one trillion, three hundred thirty-two billion, two hundred fourteen million, four hundred twenty-two thousand".