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1121440224 = 25317283487
BaseRepresentation
bin100001011010111…
…1101000111100000
32220011012001210010
41002311331013200
54244042041344
6303140204520
736535041012
oct10265750740
92804161703
101121440224
11526029703
12273699740
1314b4497c8
14a8d201b2
15686bd8b9
hex42d7d1e0

1121440224 has 144 divisors (see below), whose sum is σ = 3171305088. Its totient is φ = 346871808.

The previous prime is 1121440223. The next prime is 1121440231. The reversal of 1121440224 is 4220441211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121440224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121440223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302509 + ... + 2302995.

It is an arithmetic number, because the mean of its divisors is an integer number (22022952).

Almost surely, 21121440224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585652544).

1121440224 is an abundant number, since it is smaller than the sum of its proper divisors (2049864864).

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

1121440224 is a wasteful number, since it uses less digits than its factorization.

1121440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1121440224 is about 33487.9116100124. The cubic root of 1121440224 is about 1038.9437698587.

Adding to 1121440224 its reverse (4220441211), we get a palindrome (5341881435).

The spelling of 1121440224 in words is "one billion, one hundred twenty-one million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 289 332 408 487 498 544 578 664 816 867 974 996 1156 1328 1411 1461 1632 1734 1948 1992 2312 2656 2822 2922 3468 3896 3984 4233 4624 5644 5844 6936 7792 7968 8279 8466 9248 11288 11688 13872 15584 16558 16932 22576 23376 23987 24837 27744 33116 33864 40421 45152 46752 47974 49674 66232 67728 71961 80842 95948 99348 121263 132464 135456 140743 143922 161684 191896 198696 242526 264928 281486 287844 323368 383792 397392 422229 485052 562972 575688 646736 687157 767584 794784 844458 970104 1125944 1151376 1293472 1374314 1688916 1940208 2061471 2251888 2302752 2748628 3377832 3880416 4122942 4503776 5497256 6755664 8245884 10994512 11681669 13511328 16491768 21989024 23363338 32983536 35045007 46726676 65967072 70090014 93453352 140180028 186906704 280360056 373813408 560720112 1121440224