Search a number
-
+
69214003200 = 213335212517
BaseRepresentation
bin100000001110101111…
…0011110000000000000
320121122122100122222000
41000131132132000000
52113222241100300
651444012144000
75000121214536
oct1003536360000
9217578318860
1069214003200
1127398556041
12114b7768000
1366b06584a4
1434c8494156
151c01602c00
hex101d79e000

69214003200 has 336 divisors, whose sum is σ = 254302168560. Its totient is φ = 18455592960.

The previous prime is 69214003193. The next prime is 69214003213. The reversal of 69214003200 is 230041296.

It is a super-2 number, since 2×692140032002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5523342 + ... + 5535858.

Almost surely, 269214003200 is an apocalyptic number.

69214003200 is a gapful number since it is divisible by the number (60) 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 69214003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127151084280).

69214003200 is an abundant number, since it is smaller than the sum of its proper divisors (185088165360).

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

69214003200 is a wasteful number, since it uses less digits than its factorization.

69214003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 69214003200 its reverse (230041296), we get a palindrome (69444044496).

The spelling of 69214003200 in words is "sixty-nine billion, two hundred fourteen million, three thousand, two hundred".