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2240141424 = 243292211263
BaseRepresentation
bin1000010110000101…
…1101100001110000
312210010012222022220
42011201131201300
514041434011144
61010142001040
7106340613363
oct20541354160
95703188286
102240141424
11a4a557454
12526276180
13299147691
1417372a0da
15d19ea919
hex8585d870

2240141424 has 120 divisors (see below), whose sum is σ = 6044767872. Its totient is φ = 714819840.

The previous prime is 2240141411. The next prime is 2240141429. The reversal of 2240141424 is 4241410422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240141394 and 2240141403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240141429) 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 23 ways as a sum of consecutive naturals, for example, 8517517 + ... + 8517779.

Almost surely, 22240141424 is an apocalyptic number.

2240141424 is a gapful number since it is divisible by the number (24) 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 2240141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022383936).

2240141424 is an abundant number, since it is smaller than the sum of its proper divisors (3804626448).

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

2240141424 is a wasteful number, since it uses less digits than its factorization.

2240141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2240141424 is about 47330.1323049070. The cubic root of 2240141424 is about 1308.4540596437.

Adding to 2240141424 its reverse (4241410422), we get a palindrome (6481551846).

The spelling of 2240141424 in words is "two billion, two hundred forty million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 211 232 263 348 422 464 526 633 696 789 841 844 1052 1266 1392 1578 1682 1688 2104 2523 2532 3156 3364 3376 4208 5046 5064 6119 6312 6728 7627 10092 10128 12238 12624 13456 15254 18357 20184 22881 24476 30508 36714 40368 45762 48952 55493 61016 73428 91524 97904 110986 122032 146856 166479 177451 183048 221183 221972 293712 332958 354902 366096 442366 443944 532353 663549 665916 709804 884732 887888 1064706 1327098 1331832 1419608 1609297 1769464 2129412 2654196 2663664 2839216 3218594 3538928 4258824 4827891 5308392 6437188 8517648 9655782 10616784 12874376 19311564 25748752 38623128 46669613 77246256 93339226 140008839 186678452 280017678 373356904 560035356 746713808 1120070712 2240141424