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1130024224 = 257231371601
BaseRepresentation
bin100001101011010…
…1100110100100000
32220202100011211001
41003112230310200
54303241233344
6304044201344
740001022160
oct10326546440
92822304731
101130024224
1152a961a1a
12276539254
131501639b4
14aa1165a0
1569316ed4
hex435acd20

1130024224 has 96 divisors (see below), whose sum is σ = 2674135296. Its totient is φ = 459571200.

The previous prime is 1130024197. The next prime is 1130024251. The reversal of 1130024224 is 4224200311.

It is an interprime number because it is at equal distance from previous prime (1130024197) and next prime (1130024251).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 705024 + ... + 706624.

It is an arithmetic number, because the mean of its divisors is an integer number (27855576).

Almost surely, 21130024224 is an apocalyptic number.

1130024224 is a gapful number since it is divisible by the number (14) 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 1130024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337067648).

1130024224 is an abundant number, since it is smaller than the sum of its proper divisors (1544111072).

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

1130024224 is a wasteful number, since it uses less digits than its factorization.

1130024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1130024224 is about 33615.8329362817. The cubic root of 1130024224 is about 1041.5878800984.

Adding to 1130024224 its reverse (4224200311), we get a palindrome (5354224535).

The spelling of 1130024224 in words is "one billion, one hundred thirty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 137 161 184 224 274 322 368 548 644 736 959 1096 1288 1601 1918 2192 2576 3151 3202 3836 4384 5152 6302 6404 7672 11207 12604 12808 15344 22057 22414 25208 25616 30688 36823 44114 44828 50416 51232 73646 88228 89656 100832 147292 176456 179312 219337 257761 294584 352912 358624 438674 515522 589168 705824 877348 1031044 1178336 1535359 1754696 2062088 3070718 3509392 4124176 5044751 6141436 7018784 8248352 10089502 12282872 20179004 24565744 35313257 40358008 49131488 70626514 80716016 141253028 161432032 282506056 565012112 1130024224