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1230174468 = 2232172010089
BaseRepresentation
bin100100101010010…
…1111100100000100
310011201210100010100
41021110233210010
510004411040333
6322022524100
742325211325
oct11124574404
93151710110
101230174468
11581446316
122a3b96630
13167b2a9b3
14b954644c
1572eeb213
hex4952f904

1230174468 has 36 divisors (see below), whose sum is σ = 3292527420. Its totient is φ = 385936896.

The previous prime is 1230174433. The next prime is 1230174469. The reversal of 1230174468 is 8644710321.

1230174468 is a `hidden beast` number, since 1 + 23 + 0 + 174 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534164544 + 696009924 = 23112^2 + 26382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1230174469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1004433 + ... + 1005656.

It is an arithmetic number, because the mean of its divisors is an integer number (91459095).

Almost surely, 21230174468 is an apocalyptic number.

1230174468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1230174468 is an abundant number, since it is smaller than the sum of its proper divisors (2062352952).

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

1230174468 is a wasteful number, since it uses less digits than its factorization.

1230174468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010116 (or 2010111 counting only the distinct ones).

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

The square root of 1230174468 is about 35073.8430742911. The cubic root of 1230174468 is about 1071.4919264327.

Adding to 1230174468 its reverse (8644710321), we get a palindrome (9874884789).

The spelling of 1230174468 in words is "one billion, two hundred thirty million, one hundred seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2010089 4020178 6030267 8040356 12060534 18090801 24121068 34171513 36181602 68343026 72363204 102514539 136686052 205029078 307543617 410058156 615087234 1230174468