Search a number
-
+
2016216774 = 23211136112841
BaseRepresentation
bin111100000101101…
…0000011011000110
312012111212102110100
41320023100123012
513112122414044
6532022304530
7100651363005
oct17013203306
95174772410
102016216774
11945113560
12483288146
132619347a0
14151abac3c
15bc017869
hex782d06c6

2016216774 has 96 divisors (see below), whose sum is σ = 5216728608. Its totient is φ = 554688000.

The previous prime is 2016216773. The next prime is 2016216817. The reversal of 2016216774 is 4776126102.

2016216774 is a `hidden beast` number, since 20 + 1 + 621 + 6 + 7 + 7 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016216773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150594 + ... + 163434.

It is an arithmetic number, because the mean of its divisors is an integer number (54340923).

Almost surely, 22016216774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016216774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608364304).

2016216774 is an abundant number, since it is smaller than the sum of its proper divisors (3200511834).

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

2016216774 is a wasteful number, since it uses less digits than its factorization.

2016216774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2016216774 is about 44902.3025467514. The cubic root of 2016216774 is about 1263.3171964315.

The spelling of 2016216774 in words is "two billion, sixteen million, two hundred sixteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 61 66 78 99 117 122 143 183 198 234 286 366 429 549 671 793 858 1098 1287 1342 1586 2013 2379 2574 4026 4758 6039 7137 8723 12078 12841 14274 17446 25682 26169 38523 52338 77046 78507 115569 141251 157014 166933 231138 282502 333866 423753 500799 783301 847506 1001598 1271259 1502397 1566602 1836263 2349903 2542518 3004794 3672526 4699806 5508789 7049709 8616311 10182913 11017578 14099418 16526367 17232622 20365826 25848933 30548739 33052734 51697866 61097478 77546799 91646217 112012043 155093598 183292434 224024086 336036129 672072258 1008108387 2016216774