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2292422940 = 2232515781119
BaseRepresentation
bin1000100010100011…
…1001100100011100
312220202121011002100
42020220321210130
514143330013230
61015250325100
7110544162543
oct21050714434
95822534070
102292422940
11a77016315
1253b889790
132a6c213a2
1417a65915a
15d63c6660
hex88a3991c

2292422940 has 72 divisors (see below), whose sum is σ = 6998060160. Its totient is φ = 607411584.

The previous prime is 2292422921. The next prime is 2292422971. The reversal of 2292422940 is 492242922.

2292422940 is a `hidden beast` number, since 229 + 2 + 422 + 9 + 4 + 0 = 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 = 2292422895 and 2292422904.

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, 12300 + ... + 68819.

It is an arithmetic number, because the mean of its divisors is an integer number (97195280).

Almost surely, 22292422940 is an apocalyptic number.

2292422940 is a gapful number since it is divisible by the number (20) 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 2292422940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499030080).

2292422940 is an abundant number, since it is smaller than the sum of its proper divisors (4705637220).

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

2292422940 is a wasteful number, since it uses less digits than its factorization.

2292422940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81291 (or 81286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2292422940 is about 47879.2537535831. The cubic root of 2292422940 is about 1318.5549958660.

The spelling of 2292422940 in words is "two billion, two hundred ninety-two million, four hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 81119 162238 243357 324476 405595 486714 730071 811190 973428 1216785 1460142 1622380 2433570 2920284 3650355 4867140 7300710 12735683 14601420 25471366 38207049 50942732 63678415 76414098 114621147 127356830 152828196 191035245 229242294 254713660 382070490 458484588 573105735 764140980 1146211470 2292422940