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2274678252 = 22327111943189
BaseRepresentation
bin1000011110010100…
…1101010111101100
312212112012121221200
42013211031113230
514124304201002
61013414125500
7110240306010
oct20745152754
95775177850
102274678252
11a67aa6490
12535950890
132a334a682
1417815a540
15d4a6db1c
hex8794d5ec

2274678252 has 144 divisors (see below), whose sum is σ = 7546156800. Its totient is φ = 559716480.

The previous prime is 2274678247. The next prime is 2274678277. The reversal of 2274678252 is 2528764722.

It is a super-2 number, since 2×22746782522 = 10348322300243551008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2274678198 and 2274678207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31074 + ... + 74262.

Almost surely, 22274678252 is an apocalyptic number.

2274678252 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 2274678252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773078400).

2274678252 is an abundant number, since it is smaller than the sum of its proper divisors (5271478548).

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

2274678252 is a wasteful number, since it uses less digits than its factorization.

2274678252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43236 (or 43231 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2274678252 is about 47693.5871160893. The cubic root of 2274678252 is about 1315.1440520338.

The spelling of 2274678252 in words is "two billion, two hundred seventy-four million, six hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 43189 52668 86378 129567 172756 259134 302323 388701 475079 518268 604646 777402 820591 906969 950158 1209292 1425237 1554804 1641182 1813938 1900316 2461773 2720907 2850474 3282364 3325553 3627876 4275711 4923546 5441814 5700948 5744137 6651106 7385319 8551422 9026501 9847092 9976659 10883628 11488274 13302212 14770638 17102844 17232411 18053002 19953318 22976548 27079503 29541276 29929977 34464822 36106004 39906636 51697233 54159006 59859954 63185507 68929644 81238509 103394466 108318012 119719908 126371014 162477018 189556521 206788932 252742028 324954036 379113042 568669563 758226084 1137339126 2274678252