Search a number
-
+
92214982080 = 26325138113037
BaseRepresentation
bin101010111100001110…
…0001111010111000000
322211000121202110022200
41111320130033113000
53002324013411310
6110210223033200
76443113262154
oct1257034172700
9284017673280
1092214982080
1136120a539a1
1215a5673b800
13890799b070
14466b159064
1525eaa579c0
hex157870f5c0

92214982080 has 336 divisors, whose sum is σ = 342113457504. Its totient is φ = 22663618560.

The previous prime is 92214982073. The next prime is 92214982129. The reversal of 92214982080 is 8028941229.

It is a happy number.

It is a super-2 number, since 2×922149820802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30362322 + ... + 30365358.

It is an arithmetic number, because the mean of its divisors is an integer number (1018194814).

Almost surely, 292214982080 is an apocalyptic number.

92214982080 is a gapful number since it is divisible by the number (90) 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 92214982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171056728752).

92214982080 is an abundant number, since it is smaller than the sum of its proper divisors (249898475424).

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

92214982080 is a wasteful number, since it uses less digits than its factorization.

92214982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 92214982080 in words is "ninety-two billion, two hundred fourteen million, nine hundred eighty-two thousand, eighty".