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2184131004 = 2231127161057
BaseRepresentation
bin1000001000101111…
…0011000110111100
312122012211100110220
42002023303012330
513433114143004
61000421301340
7105060543606
oct20213630674
95565740426
102184131004
11a20980a50
1250b564850
1328a666613
1416a10a176
15cbb34dd9
hex822f31bc

2184131004 has 48 divisors (see below), whose sum is σ = 5580212736. Its totient is φ = 659404800.

The previous prime is 2184131003. The next prime is 2184131021. The reversal of 2184131004 is 4001314812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2184131003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5244 + ... + 66300.

It is an arithmetic number, because the mean of its divisors is an integer number (116254432).

Almost surely, 22184131004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2184131004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790106368).

2184131004 is an abundant number, since it is smaller than the sum of its proper divisors (3396081732).

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

2184131004 is a wasteful number, since it uses less digits than its factorization.

2184131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61346 (or 61344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2184131004 is about 46734.6873745829. The cubic root of 2184131004 is about 1297.4567643123.

Adding to 2184131004 its reverse (4001314812), we get a palindrome (6185445816).

The spelling of 2184131004 in words is "two billion, one hundred eighty-four million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 542 813 1084 1626 2981 3252 5962 8943 11924 17886 35772 61057 122114 183171 244228 366342 671627 732684 1343254 2014881 2686508 4029762 8059524 16546447 33092894 49639341 66185788 99278682 182010917 198557364 364021834 546032751 728043668 1092065502 2184131004