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2297040990 = 235294171907
BaseRepresentation
bin1000100011101010…
…0001000001011110
312221002021202212020
42020322201001132
514201020302430
61015533321010
7110631345336
oct21072410136
95832252766
102297040990
11a7968a992
12541336166
132a7b7a36a
1417b0dc0c6
15d69d9b10
hex88ea105e

2297040990 has 128 divisors (see below), whose sum is σ = 5930910720. Its totient is φ = 568243200.

The previous prime is 2297040989. The next prime is 2297040997. The reversal of 2297040990 is 990407922.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297040997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2532117 + ... + 2533023.

It is an arithmetic number, because the mean of its divisors is an integer number (46335240).

Almost surely, 22297040990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297040990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965455360).

2297040990 is an abundant number, since it is smaller than the sum of its proper divisors (3633869730).

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

2297040990 is a wasteful number, since it uses less digits than its factorization.

2297040990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2297040990 is about 47927.4554926506. The cubic root of 2297040990 is about 1319.4398047623.

The spelling of 2297040990 in words is "two billion, two hundred ninety-seven million, forty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 71 82 87 123 142 145 174 205 213 246 290 355 410 426 435 615 710 870 907 1065 1189 1230 1814 2059 2130 2378 2721 2911 3567 4118 4535 5442 5822 5945 6177 7134 8733 9070 10295 11890 12354 13605 14555 17466 17835 20590 26303 27210 29110 30885 35670 37187 43665 52606 61770 64397 74374 78909 84419 87330 111561 128794 131515 157818 168838 185935 193191 223122 253257 263030 321985 371870 386382 394545 422095 506514 557805 643970 789090 844190 965955 1078423 1115610 1266285 1867513 1931910 2156846 2532570 2640277 3235269 3735026 5280554 5392115 5602539 6470538 7920831 9337565 10784230 11205078 13201385 15841662 16176345 18675130 26402770 28012695 32352690 39604155 56025390 76568033 79208310 153136066 229704099 382840165 459408198 765680330 1148520495 2297040990