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607228164 = 2234374
BaseRepresentation
bin100100001100011…
…001000100000100
31120022121101110000
4210030121010010
52220422300124
6140131001300
721022232334
oct4414310404
91508541400
10607228164
11291845564
1214b439230
1398a5990a
145a9090c4
15384996c9
hex24319104

607228164 has 75 divisors (see below), whose sum is σ = 1631509187. Its totient is φ = 196938864.

The previous prime is 607228159. The next prime is 607228183. The reversal of 607228164 is 461822706.

The square root of 607228164 is 24642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 378613764 + 228614400 = 19458^2 + 15120^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 16411554 + ... + 16411590.

Almost surely, 2607228164 is an apocalyptic number.

607228164 is the 24642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 607228164

607228164 is an abundant number, since it is smaller than the sum of its proper divisors (1024281023).

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

607228164 is an frugal number, since it uses more digits than its factorization.

607228164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 607228164 is about 846.8060824697.

Multiplying 607228164 by its sum of digits (36), we get a square (21860213904 = 1478522).

607228164 divided by its sum of digits (36) gives a square (16867449 = 41072).

It can be divided in two parts, 60722 and 8164, that added together give a palindrome (68886).

The spelling of 607228164 in words is "six hundred seven million, two hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1369 1998 2738 2997 3996 4107 5476 5994 8214 11988 12321 16428 24642 36963 49284 50653 73926 101306 110889 147852 151959 202612 221778 303918 443556 455877 607836 911754 1367631 1823508 1874161 2735262 3748322 4102893 5470524 5622483 7496644 8205786 11244966 16411572 16867449 22489932 33734898 50602347 67469796 101204694 151807041 202409388 303614082 607228164