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2273754252 = 22372111033413
BaseRepresentation
bin1000011110000110…
…1011110010001100
312212110110200110110
42013201223302030
514124040114002
61013342240020
7110226410100
oct20741536214
95773420413
102273754252
11a67525250
12535586010
132a30b5c23
14177d99900
15d4939e6c
hex8786bc8c

2273754252 has 144 divisors (see below), whose sum is σ = 6800032512. Its totient is φ = 584680320.

The previous prime is 2273754211. The next prime is 2273754253. The reversal of 2273754252 is 2524573722.

It is a self number, because there is not a number n which added to its sum of digits gives 2273754252.

It is not an unprimeable number, because it can be changed into a prime (2273754253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664498 + ... + 667910.

It is an arithmetic number, because the mean of its divisors is an integer number (47222448).

Almost surely, 22273754252 is an apocalyptic number.

2273754252 is a gapful number since it is divisible by the number (22) 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 2273754252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400016256).

2273754252 is an abundant number, since it is smaller than the sum of its proper divisors (4526278260).

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

2273754252 is a wasteful number, since it uses less digits than its factorization.

2273754252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3539 counting only the distinct ones).

The product of its digits is 235200, while the sum is 39.

The square root of 2273754252 is about 47683.8992952548. The cubic root of 2273754252 is about 1314.9659524598.

The spelling of 2273754252 in words is "two billion, two hundred seventy-three million, seven hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 103 132 147 154 196 206 231 294 308 309 412 462 539 588 618 721 924 1078 1133 1236 1442 1617 2156 2163 2266 2884 3234 3399 3413 4326 4532 5047 6468 6798 6826 7931 8652 10094 10239 13596 13652 15141 15862 20188 20478 23793 23891 30282 31724 37543 40956 47586 47782 55517 60564 71673 75086 95172 95564 111034 112629 143346 150172 166551 167237 222068 225258 262801 286692 333102 334474 351539 450516 501711 525602 666204 668948 703078 788403 1003422 1051204 1054617 1406156 1576806 1839607 2006844 2109234 2460773 3153612 3679214 3866929 4218468 4921546 5518821 7358428 7382319 7733858 9843092 11037642 11600787 14764638 15467716 17225411 22075284 23201574 27068503 29529276 34450822 46403148 51676233 54137006 68901644 81205509 103352466 108274012 162411018 189479521 206704932 324822036 378959042 568438563 757918084 1136877126 2273754252