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2248233975 = 345213412083
BaseRepresentation
bin1000011000000001…
…0101001111110111
312210200110010020000
42012000111033313
514101021441400
61011031242343
7106466450001
oct20600251767
95720403200
102248233975
11a54084509
12528b193b3
1329aa1bc80
14174835371
15d2598600
hex860153f7

2248233975 has 120 divisors (see below), whose sum is σ = 4596445392. Its totient is φ = 1079308800.

The previous prime is 2248233971. The next prime is 2248233983. The reversal of 2248233975 is 5793328422.

2248233975 is a `hidden beast` number, since 2 + 248 + 2 + 339 + 75 = 666.

It is not a de Polignac number, because 2248233975 - 22 = 2248233971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2248233975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248233971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1078284 + ... + 1080366.

Almost surely, 22248233975 is an apocalyptic number.

2248233975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2248233975 is an abundant number, since it is smaller than the sum of its proper divisors (2348211417).

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

2248233975 is a wasteful number, since it uses less digits than its factorization.

2248233975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2145 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2248233975 is about 47415.5457102415. The cubic root of 2248233975 is about 1310.0277707144.

The spelling of 2248233975 in words is "two billion, two hundred forty-eight million, two hundred thirty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 41 45 65 75 81 117 123 135 195 205 225 325 351 369 405 533 585 615 675 975 1025 1053 1107 1599 1755 1845 2025 2083 2665 2925 3075 3321 4797 5265 5535 6249 7995 8775 9225 10415 13325 14391 16605 18747 23985 26325 27079 27675 31245 39975 43173 52075 56241 71955 81237 83025 85403 93735 119925 135395 156225 168723 215865 243711 256209 281205 359775 406185 427015 468675 676975 731133 768627 843615 1079325 1110239 1218555 1281045 1406025 2030925 2135075 2193399 2305881 3330717 3655665 3843135 4218075 5551195 6092775 6405225 6917643 9992151 10966995 11529405 16653585 18278325 19215675 27755975 29976453 34588215 49960755 54834975 57647025 83267925 89929359 149882265 172941075 249803775 449646795 749411325 2248233975