Search a number
-
+
9922140 = 22325199277
BaseRepresentation
bin100101110110…
…011001011100
3200200002121200
4211312121130
510020002030
6552355500
7150223344
oct45663134
920602550
109922140
115667718
1233a5b90
1320952b7
141463d24
15d0ed60
hex97665c

9922140 has 72 divisors (see below), whose sum is σ = 30357600. Its totient is φ = 2623104.

The previous prime is 9922127. The next prime is 9922151. The reversal of 9922140 is 412299.

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, 35682 + ... + 35958.

Almost surely, 29922140 is an apocalyptic number.

9922140 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 9922140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178800).

9922140 is an abundant number, since it is smaller than the sum of its proper divisors (20435460).

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

9922140 is a wasteful number, since it uses less digits than its factorization.

9922140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9922140 is about 3149.9428566245. The cubic root of 9922140 is about 214.8828639023.

The spelling of 9922140 in words is "nine million, nine hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 277 398 554 597 796 831 995 1108 1194 1385 1662 1791 1990 2388 2493 2770 2985 3324 3582 3980 4155 4986 5540 5970 7164 8310 8955 9972 11940 12465 16620 17910 24930 35820 49860 55123 110246 165369 220492 275615 330738 496107 551230 661476 826845 992214 1102460 1653690 1984428 2480535 3307380 4961070 9922140