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2164801896 = 233317234679
BaseRepresentation
bin1000000100001000…
…0100000101101000
312120212110022221000
42001002010011220
513413142130041
6554451115000
7104434340535
oct20102040550
95525408830
102164801896
11a10a79784
12504ba2a60
1328665968a
14167717d8c
15ca0b7bb6
hex81084168

2164801896 has 96 divisors (see below), whose sum is σ = 6388056000. Its totient is φ = 679133952.

The previous prime is 2164801823. The next prime is 2164801901. The reversal of 2164801896 is 6981084612.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45085 + ... + 79763.

It is an arithmetic number, because the mean of its divisors is an integer number (66542250).

Almost surely, 22164801896 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 2164801896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194028000).

2164801896 is an abundant number, since it is smaller than the sum of its proper divisors (4223254104).

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

2164801896 is a wasteful number, since it uses less digits than its factorization.

2164801896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34728 (or 34701 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2164801896 is about 46527.4316505865. The cubic root of 2164801896 is about 1293.6180098071.

The spelling of 2164801896 in words is "two billion, one hundred sixty-four million, eight hundred one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2312 2601 3468 3672 5202 6936 7803 10404 15606 20808 31212 34679 62424 69358 104037 138716 208074 277432 312111 416148 589543 624222 832296 936333 1179086 1248444 1768629 1872666 2358172 2496888 3537258 3745332 4716344 5305887 7074516 7490664 10022231 10611774 14149032 15917661 20044462 21223548 30066693 31835322 40088924 42447096 60133386 63670644 80177848 90200079 120266772 127341288 180400158 240533544 270600237 360800316 541200474 721600632 1082400948 2164801896