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1330012224 = 2634256561
BaseRepresentation
bin100111101000110…
…0110000001000000
310102200122121210000
41033101212001000
510210440342344
6335550440000
744646626442
oct11721460100
93380577700
101330012224
11622836962
12311503000
131827156a8
14c88d4492
157bb6ca69
hex4f466040

1330012224 has 70 divisors (see below), whose sum is σ = 3942588254. Its totient is φ = 443335680.

The previous prime is 1330012213. The next prime is 1330012241. The reversal of 1330012224 is 4222100331.

It can be written as a sum of positive squares in only one way, i.e., 1296000000 + 34012224 = 36000^2 + 5832^2 .

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 = 1330012197 and 1330012206.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 123097 + ... + 133464.

Almost surely, 21330012224 is an apocalyptic number.

It is an amenable number.

1330012224 is an abundant number, since it is smaller than the sum of its proper divisors (2612576030).

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

1330012224 is an equidigital number, since it uses as much as digits as its factorization.

1330012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256585 (or 256566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1330012224 is about 36469.3326508726. The cubic root of 1330012224 is about 1099.7278180568.

Adding to 1330012224 its reverse (4222100331), we get a palindrome (5552112555).

The spelling of 1330012224 in words is "one billion, three hundred thirty million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 256561 513122 769683 1026244 1539366 2052488 2309049 3078732 4104976 4618098 6157464 6927147 8209952 9236196 12314928 13854294 16419904 18472392 20781441 24629856 27708588 36944784 41562882 49259712 55417176 73889568 83125764 110834352 147779136 166251528 221668704 332503056 443337408 665006112 1330012224