Search a number
-
+
9922430340 = 2234571281307
BaseRepresentation
bin10010011110110110…
…00100010110000100
3221121111210200120000
421033123010112010
5130310120232330
64320332041300
7500613160224
oct111733042604
927544720500
109922430340
114231a53859
121b0b003230
13c218cb374
146a1b30084
153d1189560
hex24f6c4584

9922430340 has 240 divisors, whose sum is σ = 31780957824. Its totient is φ = 2590963200.

The previous prime is 9922430321. The next prime is 9922430381. The reversal of 9922430340 is 430342299.

9922430340 is a `hidden beast` number, since 99 + 224 + 3 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9922430295 and 9922430304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32320467 + ... + 32320773.

Almost surely, 29922430340 is an apocalyptic number.

9922430340 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 9922430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890478912).

9922430340 is an abundant number, since it is smaller than the sum of its proper divisors (21858527484).

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

9922430340 is a wasteful number, since it uses less digits than its factorization.

9922430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 9922430340 is about 99611.3966371318. The cubic root of 9922430340 is about 2148.8495983731.

The spelling of 9922430340 in words is "nine billion, nine hundred twenty-two million, four hundred thirty thousand, three hundred forty".