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1200230164 = 227471496121
BaseRepresentation
bin100011110001010…
…0000111100010100
310002122110000021001
41013202200330110
54424224331124
6315033033044
741512534210
oct10742407424
93078400231
101200230164
11566553761
12295b55784
13161875183
14b558d940
1570583b44
hex478a0f14

1200230164 has 48 divisors (see below), whose sum is σ = 2468390400. Its totient is φ = 499979520.

The previous prime is 1200230123. The next prime is 1200230189. The reversal of 1200230164 is 4610320021.

It is a congruent number.

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, 193024 + ... + 199144.

It is an arithmetic number, because the mean of its divisors is an integer number (51424800).

Almost surely, 21200230164 is an apocalyptic number.

1200230164 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 1200230164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234195200).

1200230164 is an abundant number, since it is smaller than the sum of its proper divisors (1268160236).

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

1200230164 is a wasteful number, since it uses less digits than its factorization.

1200230164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1200230164 is about 34644.3381232778. The cubic root of 1200230164 is about 1062.7265053246.

Adding to 1200230164 its reverse (4610320021), we get a palindrome (5810550185).

The spelling of 1200230164 in words is "one billion, two hundred million, two hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 149 188 298 329 596 658 1043 1316 2086 4172 6121 7003 12242 14006 24484 28012 42847 49021 85694 98042 171388 196084 287687 575374 912029 1150748 1824058 2013809 3648116 4027618 6384203 8055236 12768406 25536812 42865363 85730726 171461452 300057541 600115082 1200230164