Search a number
-
+
2014462164 = 22311133972957
BaseRepresentation
bin111100000010010…
…0100000011010100
312012101120021120210
41320010210003110
513111200242124
6531520525420
7100630434351
oct17004440324
95171507523
102014462164
11944125270
12482780870
1326146bc60
14151781628
15bbcbca29
hex781240d4

2014462164 has 96 divisors (see below), whose sum is σ = 5537943936. Its totient is φ = 561876480.

The previous prime is 2014462157. The next prime is 2014462171. The reversal of 2014462164 is 4612644102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2014462157) and next prime (2014462171).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 679774 + ... + 682730.

It is an arithmetic number, because the mean of its divisors is an integer number (57686916).

Almost surely, 22014462164 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 2014462164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768971968).

2014462164 is an abundant number, since it is smaller than the sum of its proper divisors (3523481772).

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

2014462164 is a wasteful number, since it uses less digits than its factorization.

2014462164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2014462164 is about 44882.7602092385. The cubic root of 2014462164 is about 1262.9506233639.

The spelling of 2014462164 in words is "two billion, fourteen million, four hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 397 429 572 794 858 1191 1588 1716 2382 2957 4367 4764 5161 5914 8734 8871 10322 11828 13101 15483 17468 17742 20644 26202 30966 32527 35484 38441 52404 56771 61932 65054 76882 97581 113542 115323 130108 153764 170313 195162 227084 230646 340626 390324 422851 461292 681252 845702 1173929 1268553 1691404 2347858 2537106 3521787 4695716 5074212 7043574 12913219 14087148 15261077 25826438 30522154 38739657 45783231 51652876 61044308 77479314 91566462 154958628 167871847 183132924 335743694 503615541 671487388 1007231082 2014462164