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2231631616 = 28173713859
BaseRepresentation
bin1000010100000011…
…1111111100000000
312202112012122001211
42011000333330000
514032244202431
61005235335504
7106205361424
oct20500777400
95675178054
102231631616
11a45774955
12523451594
132974581a6
14172552b84
15d0db92b1
hex8503ff00

2231631616 has 72 divisors (see below), whose sum is σ = 4844402640. Its totient is φ = 1021722624.

The previous prime is 2231631569. The next prime is 2231631617. The reversal of 2231631616 is 6161361322.

It is a super-3 number, since 3×22316316163 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231631617) 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 7 ways as a sum of consecutive naturals, for example, 154095 + ... + 167953.

It is an arithmetic number, because the mean of its divisors is an integer number (67283370).

Almost surely, 22231631616 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 2231631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422201320).

2231631616 is an abundant number, since it is smaller than the sum of its proper divisors (2612771024).

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

2231631616 is a wasteful number, since it uses less digits than its factorization.

2231631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929 (or 13915 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2231631616 is about 47240.1483486240. The cubic root of 2231631616 is about 1306.7951134780.

Adding to 2231631616 its reverse (6161361322), we get a palindrome (8392992938).

The spelling of 2231631616 in words is "two billion, two hundred thirty-one million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 544 592 629 1088 1184 1258 2176 2368 2516 4352 4736 5032 9472 10064 13859 20128 27718 40256 55436 80512 110872 161024 221744 235603 443488 471206 512783 886976 942412 1025566 1773952 1884824 2051132 3547904 3769648 4102264 7539296 8204528 8717311 15078592 16409056 17434622 30157184 32818112 34869244 60314368 65636224 69738488 131272448 139476976 278953952 557907904 1115815808 2231631616