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1129300224 = 28313113111
BaseRepresentation
bin100001101001111…
…1100000100000000
32220200222101200020
41003103330010000
54303100101344
6304020453440
736661615323
oct10323740400
92820871606
101129300224
1152a507a78
1227624a280
1314cc6c2b0
14a9da87ba
1569222719
hex434fc100

1129300224 has 72 divisors (see below), whose sum is σ = 3236812992. Its totient is φ = 347473920.

The previous prime is 1129300219. The next prime is 1129300229. The reversal of 1129300224 is 4220039211.

It is an interprime number because it is at equal distance from previous prime (1129300219) and next prime (1129300229).

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 = 1129300194 and 1129300203.

It is not an unprimeable number, because it can be changed into a prime (1129300229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46572 + ... + 66539.

It is an arithmetic number, because the mean of its divisors is an integer number (44955736).

Almost surely, 21129300224 is an apocalyptic number.

It is an amenable number.

1129300224 is an abundant number, since it is smaller than the sum of its proper divisors (2107512768).

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

1129300224 is a wasteful number, since it uses less digits than its factorization.

1129300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113143 (or 113129 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1129300224 is about 33605.0624757640. The cubic root of 1129300224 is about 1041.3653861265.

Adding to 1129300224 its reverse (4220039211), we get a palindrome (5349339435).

The spelling of 1129300224 in words is "one billion, one hundred twenty-nine million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 113111 226222 339333 452444 678666 904888 1357332 1470443 1809776 2714664 2940886 3619552 4411329 5429328 5881772 7239104 8822658 10858656 11763544 14478208 17645316 21717312 23527088 28956416 35290632 43434624 47054176 70581264 86869248 94108352 141162528 188216704 282325056 376433408 564650112 1129300224