Search a number
-
+
9922112928 = 2533713971301
BaseRepresentation
bin10010011110110011…
…10110110110100000
3221121111012120011000
421033121312312200
5130310030103203
64320321152000
7500610365640
oct111731666640
927544176130
109922112928
114231857332
121b0aa8b600
13c21819a50
146a1a8a520
153d11254a3
hex24f676da0

9922112928 has 384 divisors, whose sum is σ = 36012695040. Its totient is φ = 2587852800.

The previous prime is 9922112923. The next prime is 9922112933. The reversal of 9922112928 is 8292112299.

It is an interprime number because it is at equal distance from previous prime (9922112923) and next prime (9922112933).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9922112923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7625878 + ... + 7627178.

It is an arithmetic number, because the mean of its divisors is an integer number (93783060).

Almost surely, 29922112928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9922112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006347520).

9922112928 is an abundant number, since it is smaller than the sum of its proper divisors (26090582112).

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

9922112928 is a wasteful number, since it uses less digits than its factorization.

9922112928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1423 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 9922112928 is about 99609.8033729612. The cubic root of 9922112928 is about 2148.8266847018.

The spelling of 9922112928 in words is "nine billion, nine hundred twenty-two million, one hundred twelve thousand, nine hundred twenty-eight".