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1300424224 = 25114190107
BaseRepresentation
bin100110110000010…
…1110011000100000
310100121222101200011
41031200232120200
510130402033344
6333012334304
744140265161
oct11540563040
93317871604
101300424224
11608067a70
12303614394
131795560b8
14c49d1768
1579275d34
hex4d82e620

1300424224 has 48 divisors (see below), whose sum is σ = 2861109216. Its totient is φ = 576678400.

The previous prime is 1300424161. The next prime is 1300424233. The reversal of 1300424224 is 4224240031.

It is a happy number.

It is a super-2 number, since 2×13004242242 = 3382206324732004352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1300424195 and 1300424204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30622 + ... + 59485.

It is an arithmetic number, because the mean of its divisors is an integer number (59606442).

Almost surely, 21300424224 is an apocalyptic number.

It is an amenable number.

1300424224 is an abundant number, since it is smaller than the sum of its proper divisors (1560684992).

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

1300424224 is a wasteful number, since it uses less digits than its factorization.

1300424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90169 (or 90161 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1300424224 is about 36061.3952031809. The cubic root of 1300424224 is about 1091.5115868306.

Adding to 1300424224 its reverse (4224240031), we get a palindrome (5524664255).

It can be divided in two parts, 1300 and 424224, that added together give a palindrome (425524).

The spelling of 1300424224 in words is "one billion, three hundred million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 90107 180214 360428 720856 991177 1441712 1982354 2883424 3694387 3964708 7388774 7929416 14777548 15858832 29555096 31717664 40638257 59110192 81276514 118220384 162553028 325106056 650212112 1300424224