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1134010224 = 2432101103757
BaseRepresentation
bin100001110010111…
…1001111101110000
32221000211200120200
41003211321331300
54310301311344
6304305435200
740046633154
oct10345717560
92830750520
101134010224
11532134736
1227793bb00
13150c2b089
14aa873064
1569853069
hex43979f70

1134010224 has 120 divisors (see below), whose sum is σ = 3240468192. Its totient is φ = 370137600.

The previous prime is 1134010183. The next prime is 1134010247. The reversal of 1134010224 is 4220104311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1134010197 and 1134010206.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1497654 + ... + 1498410.

Almost surely, 21134010224 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 1134010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620234096).

1134010224 is an abundant number, since it is smaller than the sum of its proper divisors (2106457968).

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

1134010224 is a wasteful number, since it uses less digits than its factorization.

1134010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1134010224 is about 33675.0682850087. The cubic root of 1134010224 is about 1042.8111273980.

Adding to 1134010224 its reverse (4220104311), we get a palindrome (5354114535).

The spelling of 1134010224 in words is "one billion, one hundred thirty-four million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 103 144 202 206 303 309 404 412 606 618 757 808 824 909 927 1212 1236 1514 1616 1648 1818 1854 2271 2424 2472 3028 3636 3708 4542 4848 4944 6056 6813 7272 7416 9084 10403 12112 13626 14544 14832 18168 20806 27252 31209 36336 41612 54504 62418 76457 77971 83224 93627 109008 124836 152914 155942 166448 187254 229371 233913 249672 305828 311884 374508 458742 467826 499344 611656 623768 688113 701739 749016 917484 935652 1223312 1247536 1376226 1403478 1498032 1834968 1871304 2752452 2806956 3669936 3742608 5504904 5613912 7875071 11009808 11227824 15750142 23625213 31500284 47250426 63000568 70875639 94500852 126001136 141751278 189001704 283502556 378003408 567005112 1134010224